$CATEGORY: Maths - TicTacLearn/11. Area and its Boundry

//Multiple Choice(10)

What is the formula for the area of a rectangle?
{
~ Length + Width
= Length × Width
~ Length × Length
~ Width × Width
}

If the length of a rectangle is 6 meters and the width is 4 meters, what is its area?
{
~ 12 square meters
~ 16 square meters
~ 20 square meters
= 24 square meters
}

If the length of a square is 5 meters, what is its area?
{
~ 15 square meters
~ 20 square meters
= 25 square meters
~ 10 square meters
}

What is the perimeter of a square with side length 6 meters?
{
~ 12 meters
~ 18 meters
= 24 meters
~ 36 meters
}

What is the area of a square with a side length of 6 meters?
{
~ 18 square meters
~ 24 square meters
~ 30 square meters
= 36 square meters
}

How is the perimeter of a rectangle calculated?
{
= 2 × (Length + Width)
~ Length × Width
~ Length + Width
~ Length × Length
}

A rectangle has a length of 12 cm and a width of 6 cm. What is its perimeter?
{
~ 18 cm
= 36 cm
~ 72 cm
~ 24 cm
}

If two rectangles have the same perimeter, will their areas always be the same?
{
~ Yes
= No
~ Only if the lengths and widths are the same
~ Only if their shapes are squares
}

What is the area of a rectangle-shaped tray with a length of 10 cm and a width of 8 cm?
{
~ 18 square cm
~ 72 square cm
= 80 square cm
~ 100 square cm
}

What is the perimeter of a rectangle with a length of 5 meters and a width of 1 meter?
{
~ 6 meters
= 12 meters
~ 10 meters
~ 15 meters
}

If a square has a perimeter of 40 meters, what is its area?
{
~ 64 square meters
= 100 square meters
~ 120 square meters
~ 400 square meters
}

If a rectangle has a length of 8 meters and a width of 6 meters, what is its area?
{
= 48 square meters
~ 14 square meters
~ 16 square meters
~ 30 square meters
}

If a square-shaped window has a side length of 4 meters, what is its area?
{
~ 8 square meters
~ 12 square meters
= 16 square meters
~ 24 square meters
}

If a rectangle’s area is 40 square meters and its width is 5 meters, what is its length?
{
~ 5 meters
~ 7 meters
= 8 meters
~ 10 meters
}

//True or False(10)

The area of a rectangle is calculated by multiplying its length by its width. {T}

A square’s perimeter is four times the length of one side. {T}

If two rectangles have the same perimeter, their areas will always be equal. {F}

A square’s length and width are always equal. {T}

A rectangle’s perimeter is calculated as the sum of its length and width. {F}

The perimeter of a square-shaped window with a side length of 6 meters is 24 meters. {T}

The area of a square is equal to the square of its side length. {T}

A rectangle with a length of 12 meters and a width of 6 meters has an area of 72 square meters. {T}

The area of a square and a rectangle with the same perimeter will always be the same. {F}

A rectangle with a perimeter of 36 cm and dimensions 12 cm × 6 cm has an area of 72 square cm. {T}

Two rectangles with the same perimeter may have different areas. {T}

If a square has a perimeter of 40 meters, its side length is 10 meters. {T}

The area of a square-shaped floor with a side length of 5 meters is 25 square meters. {T}

The length of a rectangle is always greater than its width. {F}

A square is a special type of rectangle where all sides are equal. {T}

//Fill in the blanks (10)

The formula for calculating the area of a rectangle is ___.
{
= Length × Width
~ Length + Width
~ 2 × (Length + Width)
~ Length ÷ Width
}

The area of a square is found by multiplying its ___ by itself.
{
~ Length
~ Width
= Side
~ Perimeter
}

The perimeter of a rectangle is found using the formula ___.
{
~ Length × Width
~ Length ÷ Width
= 2 × (Length + Width)
~ Length + Width
}

A square-shaped floor with a side length of 5 meters has a perimeter of ___.
{
~ 10 meters
~ 15 meters
= 20 meters
~ 25 meters
}

If the perimeter of a square is 16 meters, the length of one side is ___.
{
= 4 meters
~ 8 meters
~ 2 meters
~ 6 meters
}

A rectangle-shaped window has a perimeter of 12 meters and a length of 5 meters. Its width is ___.
{
= 1 meter
~ 2 meters
~ 3 meters
~ 6 meters
}

If two rectangles have the same perimeter, their areas ___.
{
~ Will always be equal
~ Will never be equal
= May or may not be equal
~ Will be proportional to the perimeter
}

The area of a rectangle with a length of 12 meters and a width of 6 meters is ___.
{
= 72 square meters
~ 18 square meters
~ 24 square meters
~ 36 square meters
}

The perimeter of a square is four times the length of ___.
{
= One side
~ The width
~ The diagonal
~ The area
}

The length of a rectangle is 8 meters, and its width is 5 meters. Its perimeter is ___.
{
~ 13 meters
= 26 meters
~ 40 meters
~ 32 meters
}

The area of a rectangle-shaped tray with dimensions 10 cm × 8 cm is ___.
{
~ 18 square cm
= 80 square cm
~ 48 square cm
~ 100 square cm
}

A square with a perimeter of 40 meters has an area of ___.
{
~ 20 square meters
~ 40 square meters
= 100 square meters
~ 400 square meters
}

If the area of a rectangle is 45 square meters and its width is 5 meters, its length is ___.
{
~ 8 meters
~ 7 meters
= 9 meters
~ 10 meters
}

//Numericals (10)

A rectangle has a length of 9 meters and a width of 4 meters. What is its perimeter?
{
~ 18 meters
= 26 meters
~ 30 meters
~ 36 meters
}

A square has a side length of 9 meters. What is its area?
{
~ 36 square meters
~ 45 square meters
= 81 square meters
~ 64 square meters
}

A rectangle has an area of 48 square meters. If its width is 8 meters, what is its length?
{
~ 4 meters
~ 5 meters
= 6 meters
~ 8 meters
}

A rectangle with dimensions 7 m × 5 m has an area of ___.
{
= 35 square meters
~ 28 square meters
~ 40 square meters
~ 30 square meters
}

If a square has a perimeter of 36 meters, what is the length of one side?
{
~ 6 meters
~ 8 meters
= 9 meters
~ 10 meters
}

A rectangle has a perimeter of 40 meters. If its length is 12 meters, what is its width?
{
~ 4 meters
~ 8 meters
~ 10 meters
= 6 meters
}

A square-shaped tray has a side length of 8 cm. What is its area?
{
~ 32 square cm
~ 48 square cm
= 64 square cm
~ 16 square cm
}

A rectangle has dimensions 10 cm × 3 cm. What is its perimeter?
{
~ 30 cm
~ 20 cm
= 26 cm
~ 16 cm
}

A square has an area of 64 square meters. What is its perimeter?
{
~ 64 meters
~ 16 meters
= 32 meters
~ 8 meters
}

A rectangle’s width is 8 meters, and its perimeter is 40 meters. What is its length?
{
= 12 meters
~ 14 meters
~ 16 meters
~ 10 meters
}

A square has a side length of 10 cm. What is its perimeter?
{
~ 20 cm
~ 30 cm
= 40 cm
~ 50 cm
}

A rectangle with a length of 14 meters and a width of 3 meters has an area of ___.
{
~ 28 square meters
~ 35 square meters
= 42 square meters
~ 48 square meters
}

A square’s perimeter is 20 meters. What is the length of one side?
{
~ 4 meters
= 5 meters
~ 6 meters
~ 7 meters
}

//Match the Following(1)

Match the following items from Column A with their correct corresponding options from Column B:
{
=Area of a rectangle -> Length × Width
=Area of a square -> Square of its side
=Perimeter of a rectangle -> (2 × (Length + Width))
=Perimeter of a square -> 4 × Side
=Two rectangles with the same perimeter -> May or may not have the same area
=A square’s area with side length 7 m -> 49 square meters
=A square with a side length of 5 meters -> 20 meters (perimeter)
=A rectangle with a length of 8 m and a width of 6 m -> 28 meters (perimeter)
=A square with a perimeter of 20 meters -> Side \= 5 meters
}

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