A rectangular stone in a piece of costume jewelry has a width of 4/5 inch and an area of 7/10 inch. Is a silver wire with a length of 3 1/2 inches long enough to outline the stone? Explain how you solved this problem.

Question

Darian Escobar

Mathematics

3 February, 22:27

A rectangular stone in a piece of costume jewelry has a width of 4/5 inch and an area of 7/10 inch. Is a silver wire with a length of 3 1/2 inches long enough to outline the stone? Explain how you solved this problem.

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Answers (1)

Know the Answer?

Kennedy Larson · Answer 1

The perimeter of a rectangle:

P = 2 L + 2 W

where L is the length and W is the width.

The area of a rectangle:

A = L x W

7/10 = L x 4/5

L = 7/10 : 4/5 = 7/10 * 5/4

L = 7/8 in

P = 2 * 4/5 + 2 * 7/8 = 8/5 + 14/8 = 64/40 + 70/40 = 134/40 = 3 14/40 =

= 3 7/20 < 3 1/2

Answer:

A silver line is long enough to outline the stone.