# algebra

A yard has a perimeter of
230
feet. If
eight
times the length of the yard equals
fifteen
times the​ width, what are its​ dimensions?

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3. 👁 138
1. given:
8l = 15w
then w = 8l/15

Perimeter = 2l + 2w
2l + 2(8l/15) = 230
times 15
30l + 16l = 3450
46l = 3450
l = 75
then w = 8(75)/15 = 40

the yard is 40 ft by 75 ft

check:
is 15(40) = 8(75) ??? YES
is 2(40) + 2(75) = 230 ?? , YES

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posted by Reiny

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