Question

Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use t = 3.14 in

any formulas used. HELP!

Answer 1

The perimeter and total area of the composite shape are: B. Perimeter = 52.56 inches, Area = 112 + 25.12 = 137.12 square inches.

What is the perimeter and area of the composite shape?

The perimeter = the length of the two legs of the trapezium and the longest base + circumference of half of the circle.

length of the two legs of the trapezium and the longest base = 20 + 10 + 10 = 40 inches

half of the circumference of the circle = 1/2(2 * π * r) = 3.14 * 4

= 12.56 in.

Perimeter = 40 + 12.56

Perimeter = 52.56 inches.

Area of the composite shape = area of trapezium + area of half of the circle

area of trapezium = 1/2(a + b) * h = 1/2(8 + 20) * 8

area of trapezium = 112 square inches.

area of half of the circle = 1/2(πr²) = 1/2(3.14 * 4²)

area of half of the circle = 25.12 square inches

Area of the composite shape = 112 + 25.12 = 137.12 square inches

The correct option is: B. Perimeter = 52.56 inches, Area = 112 + 25.12 = 137.12 square inches.

Answer 2

Answer: C) Perimeter = 46.28

Explanation:

The lengths of the sides on the bottom half of the shape are given as :

left = 10, bottom = 20, right = 10 = 40.

Need to find the perimeter of the semicircle at the top of the shape.

Perimeter of a circle is the Circumference = 2πr

So the perimeter of a semicircle = πr

= 3.14(2)

= 6.28

Add up the lengths of the left, bottom, right, and top: 40 + 6.28 = 46.28

Since there is only one option for Perimeter = 46.28, there is no need to solve for the Area.