Question

A rectangle has a base of 5 inches and a height of 7 inches. If the dimensions are cut in half, what will happen to the area of the rectangle? It will be half of the original size. It will be the same as the original size. It will be four times the original size. It will be one-fourth the original size.

Answer 1

It will be one-fourth the original size.

Explanation:

Given : A rectangle has a base of 5 inches and a height of 7 inches.

To find : If the dimensions are cut in half, what will happen to the area of the rectangle.

Solution : We have given

Length = 5 in.

width = 7 in.

Area = length * width.

Area = 5 * 7

Area 1 = 35 in².

If the dimensions are cut in half, what will happen to the area of the rectangle.

Length = 2.5 in.

Width = 3.5 in.

Area = 2.5 * 3.5

Area 2 = 8.75 in².

`(Area1)/(Area2)`=
`(35)/(8.75)` = 4.

It mean Area 2 =
`(Area1)/(4)`.

Area 2 =
`(35)/(4)`.

Area 2 = 8.75.

Therefore, It will be one-fourth the original size.

Answer 2

Answer: LAST OPTION.

Explanation:

The formula for calculate the area of rectangle is:

`A=b*h`

Where b is the base and h is the height.

The area of the original rectangle is:

`A_1=5in*7in=35in^2`

If the dimensions are cut in half, then:

`b_2=2.5in\\h_2=3.5in`

Therefore the new area is:

`A_2=2.5in*3.5in=8.75in^2`

Divide this area by the original:

`(8.75in^2)/(35in^2)=(1)/(4)`

The the new area will be one-fourth the original size.