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NeTakaya
3 years ago
15

(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 cut

ting. Calculate the area of the polygon. Be sure to show all your work and explain your answer .​

Mathematics
2 answers:
3241004551 [841]3 years ago
6 0

Answer:

  • 624.5 ft²

Step-by-step explanation:

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

Dimensions are shown on the picture.

<u>Area formula for trapezoid:</u>

  • A = 1/2(a + b)h

<u>Total area:</u>

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

kifflom [539]3 years ago
3 0

Answer:

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

<u>So</u>

<u>Area</u><u> </u><u>of</u><u> </u><u>polygon</u><u> </u><u>:</u><u> </u><u>3</u><u>1</u><u>2</u><u>.</u><u>5</u><u>+</u><u>3</u><u>1</u><u>2</u><u>=</u><u>6</u><u>2</u><u>4</u><u>.</u><u>5</u><u>f</u><u>t</u><u>²</u><u> </u><u>is</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>answer</u><u>.</u>

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