The area of a rectangle is 46 square inches. If the length is 4 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest hundredth
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The area is the length times width or A=lw . The length is 4 times the width so l=4w . We substitute 4w for l and solve for the width. Then we plug it in for the length.
A=lw=4w∗w=4w2=46
2w=46−−√→w=46√2
l=4w=4∗46√2=246−−√
Now just put those results into a calculator. The width is 3.39 inches and the length is 13.56 inches.
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