Question

what is the area of the shaded region? 17 yd 11 yd 7 yd 12 yd write your answer as a whole number or a decimal rounded to the nearest hundredth. square yards

Explanation:

Step1: Calculate area of large triangle

The formula for the area of a triangle is $A=\frac{1}{2}bh$. For the large triangle with base $b = 12$ yd and height $h=17$ yd, $A_1=\frac{1}{2}\times12\times17 = 102$ square - yards.

Step2: Calculate area of small triangle

For the small triangle with base $b = 7$ yd and height $h = 11$ yd, $A_2=\frac{1}{2}\times7\times11=\frac{77}{2}=38.5$ square - yards.

Step3: Calculate area of shaded region

Subtract the area of the small triangle from the area of the large triangle. $A = A_1 - A_2=102-38.5 = 63.5$ square - yards.

Answer:

63.5