Question

Bruce drew a rectangle with a length of 8 3/4 inches and width of 6 inches. Brandon drew a rectangle with dimensions that were 1 1/2 times the dimensions of Bruce’s rectangle. What is the length of Brandon’s rectangle?

Answer 1

The correct answer is D.

Answer 2

Option D.
`13(1)/(8)` inches

Explanation:

Dimensions of the rectangle drawn by Bruce =
`8(3)/(4)` inches × 6 inches

or
`(35)/(4)` inches × 6 inches

Brandon drew a rectangle with dimension
`((3)/(2))` times the dimension of Bruce's rectangle.

So scale factor of Brandon rectangle is
`((3)/(2))`.

So dimensions of Brandon's rectangle will be

Length =
`(35)/(4)` × scale factor

=
`(35)/(4)` ×
`((3)/(2))`

=
`(105)/(8)`

=
`13(1)/(8)` inches

Option D. is the answer.