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Aleonysh [2.5K]
3 years ago
11

The width and the length of a rectangular piece of plywood are 4 feet and 8 feet, respectively. Along one edge of the plywood, a

strip x inches wide and 8 feet long is removed. Then, along an edge perpendicular to the 8-foot edge, a strip x inches wide is removed. For what value of x will the remaining rectangular piece have width and length in the ratio of 2 to 5? (1 foot = 12 inches)

Mathematics
1 answer:
bogdanovich [222]3 years ago
4 0

Answer:

16 inches

Step-by-step explanation:

Refer the pic attached

It shows how the rectangular piece looks at last after removing 2 stripes

so the final dimensions of the rectangular piece is 8-x,4-x

Length= 8-x

width=4-x

Given

\frac{width}{length} =\frac{2}{5}

\frac{4-x}{8-x} =\frac{2}{5}

20-5x=16-2x

3x=4

x=\frac{4}{3} feet

given 1 foot= 12 inches

⇒ x=\frac{4\times12}{3} =16\text{inches}

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Step-by-step explanation:

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