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 centimeters

Explanation:

Step1: Calculate area of large triangle

Use formula $A = \frac{1}{2}bh$, where $b = 99$ cm and $h = 72$ cm. So $A_{1}=\frac{1}{2}\times99\times72 = 99\times36=3564$ $cm^{2}$.

Step2: Calculate area of small triangle

Use formula $A=\frac{1}{2}bh$, where $b = 51$ cm and $h = 37$ cm. So $A_{2}=\frac{1}{2}\times51\times37=\frac{1887}{2}=943.5$ $cm^{2}$.

Step3: Find area of shaded region

Subtract area of small triangle from large triangle. $A = A_{1}-A_{2}=3564 - 943.5=2620.5$ $cm^{2}$.

Answer:

$2620.5$