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 inches

Explanation:

Step1: Identify triangles

Assume shaded area = area of larger triangle - area of smaller triangle.

Step2: Smaller triangle area

Smaller triangle: right triangle with legs 15 in, 8 in (since 15²+8²=17²). Area = $\frac{15×8}{2}=60$ in².

Step3: Larger triangle area

Larger triangle: right triangle with legs 25 in, 28 in. Area = $\frac{25×28}{2}=350$ in².

Step4: Shaded area

Shaded area = 350 - 60 = 290 in².

Answer:

290