Question

the perpendicular sides of a triangular rug measure 6 feet and 9 feet. calculate the area of the rug
a. 39 sq ft \t\t\t\t\tc. 21 sq ft
b. 27 sq ft \t\t\t\t\td. 19 sq ft

please select the best answer from the choices provided

a
b
c
d

Explanation:

Step1: Recall triangle area formula

The area \( A \) of a right - angled triangle (since the sides are perpendicular, it's a right - angled triangle) is given by \( A=\frac{1}{2}\times base\times height \).

Step2: Substitute values

Here, the base can be 6 feet and the height can be 9 feet (or vice - versa). Substituting these values into the formula, we get \( A = \frac{1}{2}\times6\times9 \).
First, calculate \( 6\times9 = 54 \). Then, \( \frac{1}{2}\times54=27 \) square feet.

Answer:

B. 27 sq ft