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3 years ago

8

Linda contructs a triangle with one side 5 inches long and another side 7 inches long.Which is NOT a possible legth for the thir

d side? a)3 inches b)6 c)11 d)12

1 answer:

ladessa [460]3 years ago

8 0

D) 12 would NOT be a possible length for the third side because the sum of the 2 shorter legs should be greater than the longest leg.

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Answer:

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Step-by-step explanation:

Let x in be the width dimension, the length dimension will be x+18 in. Area of a rectangle is calculated as A=lw. Given the area as2143 sq in, x can be calculated as:

$Area= x(18+x)\\\\=18x+x^2\\\\$

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$x=37\\\\A=x^2+18x\\\\=37^2+18\times37\\\\=2035 \ in^2$ #l=37+18=55in

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$x=38\\\\A=x^2+18x\\\\=38^2+18\times38\\\\=2128 \ in^2$ #l=38+18=56in

For x=39:

$x=39\\\\A=x^2+18x\\\\=39^2+18\times39\\\\=2223 \ in^2$ #l=39+1854in

From the calculations above, A television with a width of 37 in and length 55in has its area closest to 2143 sq in.

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