Question

write your answer as a whole number or a decimal rounded to the nearest hundredth. square centimeters what is the area of the shaded region? 34 cm 25 cm 25 cm 35 cm

Explanation:

Step1: Calculate the area of the large triangle

The formula for the area of a triangle is \(A=\frac{1}{2}bh\). For the large triangle, \(b = 35\) cm and \(h=34\) cm.

$$A_{large}=\frac{1}{2}\times35\times34=\frac{35\times34}{2}= 35\times17 = 595$$

Step2: Calculate the area of the small triangle

For the small triangle, \(b = 25\) cm and \(h = 25\) cm.

$$A_{small}=\frac{1}{2}\times25\times25=\frac{625}{2}=312.5$$

Step3: Calculate the area of the shaded region

Subtract the area of the small triangle from the area of the large triangle.

$$A_{shaded}=A_{large}-A_{small}=595 - 312.5=282.5$$

Answer:

\(282.5\) square centimeters