The length of a rectangle (x+5) inches long, and the width is 3 2/5 inches. If the area is 51 square inches, write and solve an equation to find the length of the rectangle.

Question

01-02-2019
Mathematics

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The length of a rectangle (x+5) inches long, and the width is 3 2/5 inches. If the area is 51 square inches, write and solve an equation to find the length of the rectangle.

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akephd akephd · Answer 1 · 2019-02-01T01:25:59+01:00

akephd akephd

01-02-2019

The area of a rectangle is length times width.
So in this case, 51=(x+5)(3 2/5)
Rewrite the fraction to be improper so 51=(x+5)(17/5)
Now solve...
51=17x/5+17 Now subtract 17 for both sides.
34=17x/5 Now cross multiply to solve for x.
34(5)=17x
170=17x
X=170/17=10

So, the length is x+5=10+5=15 inches

Check: A=(15)(3 2/5) = (15)(17/5) = 51 correct area

ANSWER: length=15 inches

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