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3 years ago

Find the area of this unusual shape

Mathematics

1 answer:

irina [24]3 years ago

8 0

Answer:

38 ft²

Step-by-step explanation:

The shape consists of a rectangle and two triangles.

Area of the shape = area of rectangle + area of the two triangles

✔️Area if the rectangle = L × W

L = 8 + 2 = 10 ft

W = 3 ft

Area of rectangle = 10 × 3 = 30 ft²

✔️Area of the large triangle = ½ × bh

b = 4 ft

h = 3 ft

Area of large triangle = ½ × 4 × 3 = 6 ft²

✔️Area of the small triangle = ½ × bh

b = 2 ft

h = 2 ft

Area of large triangle = ½ × 2 × 2 = 2 ft²

✅Area of the shape = 30 + 6 + 2 = 38 ft²

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AleksAgata [21]

Answer:

6 days

Step-by-step explanation:

Let the time taken by Carpenter working alone = $C$ days

Then time taken by apprentice alone = Twice as that of taken by Carpenter = 2 $C$ days

Time taken working together = 2 days

Work done in one day working together = $\frac{1}{2}$

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Work done in one day by apprentice working alone = $\frac{1}{2C}$

Work done in one day by Carpenter working alone + Work done in one day by Carpenter working alone = $\frac{1}{C}$ + $\frac{1}{2C}$ = Work done in one day working together = $\frac{1}{2}$

$\dfrac{1}{C}+\dfrac{1}{2C}=\dfrac{1}{2}\\\Rightarrow \dfrac{2+1}{2C}=\dfrac{1}{2}\\\Rightarrow C = 3\ days$

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Time taken by Apprentice alone to complete the work = 3 $\times$ 2= 6 days

4 0

3 years ago

Find the area. Round to the nearest tenth.

motikmotik

Answer:

40m^2

Step-by-step explanation:

Hope it helps!!:)

6 0

3 years ago

Maggie is creating a cushion for a circular stool. The stool has a diameter of 14 inches. If she needs fabric to extend 2 inches

Marianna [84]

Answer:

396 in.^2

Step-by-step explanation:

The cushion is shaped like a cylinder with 14 inch diameter and 2 inch height.

We need to find the surface area of the cylinder.

diameter = 14 in.

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height = 2 in.

A = 2(pi)r^2 + 2(pi)rh

A = 2(3.14159)(7 in.)^2 + 2(3.14159)(7 in.)(2 in.)

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saul85 [17]

Answer:

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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