Solve.
-The diagonal of a Persian rug measures $26 \mathrm { ft }$. The area of the rug is $240 \mathrm { ft } ^ { 2 }$. Find the dimensions of the rug.
A) 16 ft by 15 ft
B) 120 ft by 120 ft
C) 24 ft by 10 ft
D) 20 ft by 12 ft

Question

Quizplus · Accepted Answer

The dimensions of the rug can be found using the Pythagorean theorem and the area formula for a rectangle. Given the diagonal (d) is 26 ft and the area (A) is 240 sq ft, we can set up the equations: $l^2 + w^2 = d^2$ and $lw = A$. Substituting the given values, we find that 24 ft by 10 ft satisfies both the area and the diagonal length, making option C correct.

Solve -The Diagonal of a Persian Rug Measures 26ft26 \mathrm { ft }26ft

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-The Diagonal of a Persian Rug Measures $26 \mathrm { ft }$