Question

Jan is enlarging the sketch shown on a photocopier. Which could be the dimensions of her enlargement?

The figure shows a rectangle. The horizontal length of the rectangle is labeled as 3 inches and the vertical length of the rectangle is labeled as 2 inches.

A.
4 inches × 5 inches

B.
5 inches × 6 inches

C.
7 inches × 10.5 inches

D.
8 inches × 9 inches

Answer 1

C. 7 inches × 10.5 inches

Explanation:

Jan is enlarging the sketch shown on a photocopier. The figure shows a rectangle 3 inches long and 2 inches wide.

Hie enlarged rectangle must be similar to the given one. Similar rectangles have propotional sides, so

the width of the new rectangle = 2x inches

the length of the new rectangle = 3x inches.

Check all options:

A. If 2x = 4, then x = 2 and 3x = 6 - false

B. If 2x = 5, then x = 2.5 and 3x = 7.5 - false

C. If 2x = 7, then x= 3.5 amd 3x = 10.5 - true

D. If 2x = 8, then x = 4 and 3x = 12 - false