Question

A rectangle is dilated by a factor of 1/5 the area of the new rectangle is 4 square yards what could be the dimensions of the original rectangle? A: 10 yards by 10 b: 4 yards by 5 c:25 yards by 25 d: 5 yards by 2

Answer 1

B. you multiply it by 5 and find the answer that when multiplies, equals the number.

Answer 2

option (b) is correct.

The dimensions of the original rectangle could be 4 × 5 yards

Explanation:

Given : A rectangle is dilated by a factor of
`(1)/(5)` the area of the new rectangle is 4 square yards .

We have to find the dimensions of the original rectangle.

Dilation is a property to resize the figures without changing measures of angles. It just reduce the given figure if dilation factor is less than 1 and enlarge if dilation factor is greater than 1.

Since, given dilation factor is
`(1)/(5)` , which is less than 1. Thus, the the resultant figure is smaller in size then the original

Original × dilation factor = new

Here, given figure is rectangle so,

Original rectangle × dilation factor = new rectangle

Given :

new rectangle = 4 square yards

dilation factor =
`(1)/(5)`

Original rectangle ×
`(1)/(5)` = 4 square yards

Original rectangle = 4 × 5 square yards

Original rectangle = 20 square yards

Thus, option (b) is correct.

Thus, the dimensions of the original rectangle could be 4 × 5 yards