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babunello [35]
3 years ago
12

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 th

e 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?
Mathematics
1 answer:
andrew11 [14]3 years ago
3 0

Answer:

1,092 cm²

Step-by-step 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

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