Solve.
-The diagonal of a rectangular storage room is 7 yards long. If its length is 3 times its width, find the dimensions of the room.
A) $7 \sqrt { 10 }$ yards by $21 \sqrt { 10 }$ yards
B) $\frac { \sqrt { 10 } } { 10 }$ yards by $\frac { 3 \sqrt { 10 } } { 10 }$ yards
C) $\frac { 3 \sqrt { 10 } } { 10 }$ yards by $\frac { 9 \sqrt { 10 } } { 10 }$ yards
D) $\frac { 7 \sqrt { 10 } } { 10 }$ yards by $\frac { 21 \sqrt { 10 } } { 10 }$ yards

Question

Quizplus · Accepted Answer

Using the Pythagorean theorem, $d^2 = l^2 + w^2$, where $d = 7$ yards, $l = 3w$. Substituting and solving for $w$, we find $w = \frac{7\sqrt{10}}{10}$ yards and $l = \frac{21\sqrt{10}}{10}$ yards.

Solve -The Diagonal of a Rectangular Storage Room Is 7 7107 \sqrt { 10 }710​

Solve
-The Diagonal of a Rectangular Storage Room Is 7 $7 \sqrt { 10 }$