Question

Rectangle A measures 10 inches by 8 inches. Rectangle B is an enlarged copy of Rectangle A. Select all of the measurement pairs that could be the dimensions of Rectangle B.

Answer 1

See Explanation

Explanation:

Given

Rectangle A:

`Length: 10\ in`

`Width: 8\ in`

Required

Determine the possible dimensions of Rectangle B

The question has missing options; however, the question can still be solved.

Rectangle B being an enlarged copy of A implies that the dimension of A A is enlarged in equal proportion to form B

Take for instance, the measurements of Rectangle B are

`Length: 15 in`

`Width: 12 in`

Divide the corresponding lengths of B by A to get the enlargement ratio

`Ratio = (B)/(A)`

For length:

`Ratio = (15)/(10)`

`Ratio = 1.5`

For width

`Ratio = (12)/(8)`

`Ratio = 1.5`

Notice that both ratios are the same.

For this measurement of B, we can conclude that B is an enlargement of A

Assume another measurements for B

`Length: 20\ in`

`Width: 10\ in`

Calculate Ratios

`Ratio = (B)/(A)`

For length:

`Ratio = (20)/(10)`

`Ratio = 2`

For width

`Ratio = (10)/(8)`

`Ratio = 1.25`

Notice that, both ratios are not equal.

For this measurement of B, we can conclude that B is not an enlargement of A

Conclusively, all you have to do is: determine the ratios of the dimensions of B to A, if the result are equal then B is an enlarged copy of A; if otherwise, then B is not an enlarged copy