Question

)Calculate the area of the figure below using the following information:

Area of triangle ABC = 31.8 square units

Area of triangle ACD = 39.2 square units

Area of triangle AED = 35.5 square units



The area of the Figure ABCDE is ______ square units












2 Calculate the area of the irregular polygon shown below:



21 square inches
22 square inches
26 square inches
29 square inches

Answer 1

For the first problem, add the areas of the three triangles to find the area of the polygon.

A = 31.8 u^2 + 39.2 u^2 + 35.5 u^2 = 106.5^2

For the second problem, you can divide the entire polygon into many smaller rectangles and add their areas, but there is a faster way. Find the area of the outer rectangle, and subtract the areas of the two 3 in. by 4 in. rectangles.

A = A(outer rectangle) - A(two smaller rectangles)

A = 10 in. * 5 in. - 2(3 in. * 4 in.)

A = 50 in.^2 - 24 in.^2

A = 26 in.^2