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cricket20 [7]
2 years ago
8

Yuki bought a drop–leaf kitchen table. The rectangular part of the table is a 2–by–3–foot rectangle with a semicircle at each en

d, as shown.

Mathematics
1 answer:
shusha [124]2 years ago
8 0

Answer:

(a)\ Area = 13.0695

(b)\ Area = 26.139

Step-by-step explanation:

Given

The attached image

Solving (a): The area (one side up)

This is calculated as:

Area= Area of semicircle + Area of rectangle

So, we have:

Area = \pi r^2 + l *w

Where:

l,w =2,3 --- the rectangle dimension

d = 3 --- the diameter of the semicircle

So, we have:

Area = \pi * (3/2)^2 + 2 * 3

Area = \pi * 2.25 + 6

Area = 2.25\pi + 6

Area = 2.25*3.142 + 6

Area = 13.0695

Solving (b): Area when both leaves are up.

Simply multiply the area in (a) by 2

Area = 2 * 13.0695

Area = 26.139

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