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: Recall area formula for triangle

The area formula for a triangle is $A=\frac{1}{2}bh$, where $b$ is the base and $h$ is the height.

Step2: Calculate area of large triangle

Let the base of the large triangle $b_1 = 30$ yards and height $h_1= 25$ yards. Then $A_1=\frac{1}{2}\times30\times25 = 375$ square - yards.

Step3: Calculate area of small triangle

Let the base of the small triangle $b_2 = 20$ yards and height $h_2 = 20$ yards. Then $A_2=\frac{1}{2}\times20\times20=200$ square - yards.

Step4: Find area of shaded region

The area of the shaded region $A = A_1 - A_2$. So $A=375 - 200=175$ square - yards.

Answer:

175