Math, asked by cuterthanjimin, 1 year ago

Using the floorplan below, calculate the total area of the space. Please show all work.

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Answers

Answered by santy2
2

Answer:

913.39 square feet

Step-by-step explanation:

To answer this question we need to divide the field into regular shapes.

In the diagram we have rectangles, a trapezium and a semicircle.

1) The semicircle

The radius = (3 × 5) /2 = 7.5 feet

Area = ½ × pie × r² = ½ × 22/7 × 7.5²

= 88.39 square feet.

2) Trapezium

a = 1 × 5 = 5 feet

b = 3 × 5 = 15 feet

h = 1 × 5 = 5 feet

Area = ½(a + b) × h

Area = ½ × (15 + 5) × 5

= 50 square feet.

3) Rectangles

Rectangle 1 : length = 3 × 5 = 15 feet

Width = 2 × 5 = 10 feet

Area = 15 × 10 = 150 square feet.

Rectangle 2: length = 5 × 5 = 25 feet.

Width = 3 × 5 = 15 feet

Area = 25 × 15 = 375 square feet.

Rectangle 3 : Length = 5 × 5 = 25 feet

Width = 2 × 5 = 10 feet

Area = 25 × 10 = 250 square feet.

The total area of the field is therefore :

250 + 375 + 150 + 50 + 88.39 = 913.39 square feet.

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