A diagonal shortcut across an empty rectangular lot is 97 feet. The lot 72 feet long. What is the other dimension of the lot

Question

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Answer 1

Colby, for this one, you want to use the Pythagorean theorem.

 

If the lot is rectangular, its diagonal forms the hypotenuse of a right triangle. We do not know the width of the rectangle, so we will let that be x.

 

72^2 + x^2 = 97^2;

 

So, subtract 72^2 from both sides to isolate x^2; then perform the actual subtraction on the left side; then take the square root of what the difference.

 

x^2 = 97^2 - 72^2,

so x = sqrt(97^2 - 72^2)

Answer 2

use the Pythagorean Theorem

97^2=72^2+D^2

9409=5184-D^2

9409-5184=D^2

4225=D^2

D^2=4225

take the square root of both sides

D=√4225

D=65 feet