Question

what is the area of the shaded region? 71 m 46 m 56 m 87 m write your answer as a whole number or a decimal rounded to the nearest hundredth. square meters

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 $b = 87$ m and height $h=71$ m, we have $A_{1}=\frac{1}{2}\times87\times71=\frac{6177}{2}=3088.5$ square - meters.

Step2: Find area of small triangle

For the small triangle with base $b = 56$ m and height $h = 46$ m, using the area formula $A=\frac{1}{2}bh$, we get $A_{2}=\frac{1}{2}\times56\times46=1288$ square - meters.

Step3: Find area of shaded region

The area of the shaded region $A = A_{1}-A_{2}$. So $A=3088.5 - 1288=1800.5$ square - meters.

Answer:

$1800.5$