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: Calculate area of large triangle

The area formula for a triangle is $A=\frac{1}{2}bh$. For the large triangle with base $b = 26$ yd and height $h=25$ yd, $A_{1}=\frac{1}{2}\times26\times25= 325$ square - yards.

Step2: Calculate area of small triangle

For the small triangle with base $b = 17$ yd and height $h = 16$ yd, using the area formula $A=\frac{1}{2}bh$, we have $A_{2}=\frac{1}{2}\times17\times16=136$ square - yards.

Step3: Calculate area of shaded region

The area of the shaded region $A = A_{1}-A_{2}$. So $A=325 - 136=189$ square - yards.

Answer:

189