Question

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.

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.