Mathematics: 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?

456.120Step-by-step explanation:...

Bruce drew a rectangle with a length of 8 3/4 inches

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03.01.2022

Option D. $13\frac{1}{8}$ inches

Step-by-step explanation:

Dimensions of the rectangle drawn by Bruce = $8\frac{3}{4}$ inches × 6 inches

or $\frac{35}{4}$ inches × 6 inches

Brandon drew a rectangle with dimension $(\frac{3}{2})$ times the dimension of Bruce's rectangle.

So scale factor of Brandon rectangle is $(\frac{3}{2})$ .

So dimensions of Brandon's rectangle will be

Length = $\frac{35}{4}$ × scale factor

= $\frac{35}{4}$ × $(\frac{3}{2})$

= $\frac{105}{8}$

= $13\frac{1}{8}$ inches

Option D. is the answer.

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