Question

A gift shop uses two sizes of boxes for presents. These boxes have exactly the same shape. The smaller box is 24 cm long, and the larger box is 28 cm long. If 936 cm^2 of wrapping paper is needed to cover the small box how much wrapping paper is needed to cover the largest box?

Answer 1

1,092 cm²

Explanation:

Smaller box:

Length = 24 cm

Wrapping paper = 936 cm²

Bigger box:

Length= 28 cm

Wrapping paper = x cm²

Box : wrapping paper = 24 cm : 936 cm²

Box : wrapping paper = 28 cm : x cm²

Equate both ratios to find x

24 : 936 = 28 : x

24/936 = 28/x

Cross product

24 * x = 936 * 28

24x = 26,208

x = 26,208 / 24

x = 1,092 cm²

Bigger box:

Length= 28 cm

Wrapping paper = 1,092 cm²