According to the Pythagorean theorem, if building length is 40' and the width is 32', then the diagonal equals ____'.
A)2624'
B)51.2249939
C)40.3980198
D)46.1410880

Question

Quizplus · Accepted Answer

According to the Pythagorean theorem, the diagonal (d) of a rectangle can be found using the formula:

d = √(l^2 + w^2)

where l is the length and w is the width.

Substituting the given values, we get:

d = √(40^2 + 32^2)
d = √(1600 + 1024)
d = √2624
d = 51.2249939 (rounded to nearest ten-thousandth)

Therefore, the diagonal of the building is approximately 51.2249939 feet, which corresponds to choice B.

According to the Pythagorean Theorem, If Building Length Is 40