what is the area of the shaded region? write your answer as a whole number or a decimal rounded to the…
what is the area of the shaded region? write your answer as a whole number or a decimal rounded to the nearest hundredth. square centimeters
Answer
Explanation:
Step1: Find area of large triangle
The formula for the area of a triangle is $A=\frac{1}{2}bh$. For the large triangle with base $b = 17$ cm and height $h=12$ cm, we have $A_1=\frac{1}{2}\times17\times12$. $A_1 = 102$ square - cm.
Step2: Find area of small triangle
For the small triangle with base $b = 10$ cm and height $h = 7$ cm, using the area - of - a - triangle formula $A=\frac{1}{2}bh$, we get $A_2=\frac{1}{2}\times10\times7$. $A_2 = 35$ square - cm.
Step3: Find area of shaded region
The area of the shaded region $A$ is the area of the large triangle minus the area of the small triangle, so $A=A_1 - A_2$. $A=102−35 = 67$ square - cm.
Answer:
67