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Luke buys a rug for his hallway as shown . What is the area of the rug? use 3.14 for pie

Luke buys a rug for his hallway as shown . What is the area of the rug? use 3.14 for-example-1

1 Answer

3 votes

Explanation:

3.

the circumference of a circle is

2×pi×r

r is the radius.

so, in our case

2×3.14×14 = 87.92 cm

so, she will need 88 squares.

4.

this shape is the combination of 2 basic shapes : 1 rectangle and 1 half-circle.

the area of a rectangle is

length × width.

the area of a circle is

pi×r²

so, the area of a half-circle is

pi×r²/2

remember, the diameter of a circle is 2×radius (or the radius is diameter/2).

so, in our case the area is

12×4 + 3.14×(4/2)²/2 = 48 + 3.14×2²/2 = 48 + 3.14×2 =

= 48 + 6.28 = 54.28 ft²

6.

this shape is the combination of 2 basic shapes : 1 rectangle and 1 right-angled triangle.

the area of a rectangle is

length × width.

the area of a triangle is

baseline × height / 2

in a right-angled triangle we can use the legs as baseline and height pair.

so, in our case the area is

5×7 + 3×4/2 = 35 + 3×2 = 35 + 6 = 41 m²

7.

you put the "X" at the correct spots.

answered
User Serdalis
by
8.2k points
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