The Length Of A Rectangle Is 7 Feet Less Than Twice The Width. The Perimeter Is 70 Feet. Find The Length And Width.?
Answer:
Equation for perimeter is 2L + 2W = perimeter
In this case, length equals W, but L = 2 times the width minus 7, which is 2w-7. So we now place that into the equation
2(2w-7) + 2W = 70; now we multiply to return with this to the simplest terms
4w - 14 + 2W = 70; then add together resembling terms
6w - 14 = 70 (added 14 to both sides, so as to get rid of the 14 on the left)
6w = 84 (divide by 6 to get rid of the 6 on the left)
w=14
So, the depth is 14, but now we need to find L, which is 2w-7
L = (2*14)-7 = 21
So, then to check our work, we put the answer for L and W support into the original equation
P = (2 * 21) + (2 * 14) = 70
so L = 21
W = 14
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