Question

(05.03)(picture included)Sue has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area of the polygon. Be sure to show all your work and explain your answer .​

Answer 1

Solution given:

BD=35ft

AC=43ft

AB=8ft

EF=33-8=25ft

AE=26ft

Now

area of right angled triangle ∆AEF

=½(EF*AE)=½(25×25)=312.5ft²

area of parallel trapezoid=½AB(BD+AC)

=½*8(35+43)=312ft²

So

Area of polygon : 312.5+312=624.5ft² is a required answer.

Answer 2

• 624.5 ft²

Explanation:

The area is the sum of the areas of the two trapezoids.

Dimensions are shown on the picture.

Area formula for trapezoid:

• A = 1/2(a + b)h

Total area:

• A = 1/2(33 + 8)(25) + 1/2(18 + 10)(8) = 624.5 ft²