Question

what is the area of the shaded region? write your answer as a whole number or a decimal rounded to the nearest hundredth. square yards

Explanation:

Step1: Find area of large triangle

The formula for the area of a triangle is $A=\frac{1}{2}bh$. For the large triangle with base $b = 80$ yd and height $h=79$ yd, $A_1=\frac{1}{2}\times80\times79 = 40\times79=3160$ square - yards.

Step2: Find area of small triangle

For the small triangle with base $b = 49$ yd and height $h = 49$ yd, $A_2=\frac{1}{2}\times49\times49=\frac{49^2}{2}=\frac{2401}{2}=1200.5$ square - yards.

Step3: Find area of shaded region

The area of the shaded region $A = A_1 - A_2$. So $A=3160 - 1200.5=1959.5$ square - yards.

Answer:

$1959.5$