Area of Composite Figures

Question 1

Which expression can be used to find the area of the composite figure?

Revolt · Accepted Answer

3x2

Question 2

The dimensions of a proposed deck are written on the floor plan. What is the area of the proposed deck? Round to the nearest square foot.

Revolt · Accepted Answer

413 square feet

Question 3

Determine the area of the archway with a semicircle top arch and two rectangular pillars.

Revolt · Accepted Answer

The lower supports are and the area of the two supports is square meters.: congruent rectangles; The lower supports are and the area of the two supports is square meters.: 24; The upper arch can be decomposed as one semicircle with radius meters minus a semicircle with radius 3 meters.: 6; The area of the archway is (π + 24) square meters.: 13.5

Question 4

The radius of the circle is 4 cm and the measure of the central angle is 90°.

Revolt · Accepted Answer

✔ 4; The area of the sector with a central angle measuring 90° and radius of length 4 cm is π cm2.: 4; The triangle in the sector is .: an isosceles right triangle; The area of the triangle is cm2.: 8; The area of the segment of the circle is (4π − ) cm2.: 8

Question 5

a 30-60-90 right triangle✔ an isosceles right trianglean obtuse triangle

Revolt · Accepted Answer

✔ an isosceles right triangle

Question 6

4✔ 816

Revolt · Accepted Answer

✔ 8

Question 7

X 4✔ 816

Revolt · Accepted Answer

✔ 8

Question 8

Determine the area of the archway with a semicircle top arch and two rectangular pillars.

Revolt · Accepted Answer

✔ congruent rectangles; The lower supports are and the area of the two supports is square meters.: congruent rectangles; The lower supports are and the area of the two supports is square meters.: 24; The upper arch can be decomposed as one semicircle with radius meters minus a semicircle with radius 3 meters.: 6; The area of the archway is (π + 24) square meters.: 13.5

Question 9

X 12✔ 2448

Revolt · Accepted Answer

✔ 24

Question 10

3✔ 612

Revolt · Accepted Answer

✔ 6

Area of Composite Figures Answers

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