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Naily [24]
3 years ago
7

for an art project you make a square print with a side length of 8 inches. You make a frame using strip of wood 1 1/4 inch wide.

what is the area of the frame?
Mathematics
1 answer:
lord [1]3 years ago
7 0

Given that square print has side length = 8 inches

Given that you make a frame using strip of wood 1 1/4 inch wide. Since frame is on both sides of the square print so new side length after adding the frame =1 \frac{1}{4} + 8 + 1 \frac{1}{4} = 10 + \frac{2}{4} = 10 + \frac{1}{2} = 10.5 inches


Area of the square is given by formula = x^2where x is the side of square

Shape of the frame including print will also be square so

Area of the frame including print = 10.5^2 = 110.25 square inches

Area of the print = 8^2 = 64 square inches


We have to find the area of frame only so we can subtract area of print from the total area


Area of frame = [Area of frame including print] - [Area of print]

Area of frame = 110.25-64 = 46.25


Hence final answer is 46.25 square inches


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The perimeter of a rectangular field is 84 yards. The ratio of the length to the width is 2:1. What are the length, width and ar
Ivenika [448]

Given:

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  • the ratio of the length to the width is 2:1

To find:

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  • the width
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Answer:

Let's assume that the length is 2x and the width is 1x.

We know that the formula to find the perimeter of a rectangle is as follows:

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Substituting the values that we have, into the formula above,

84 = 2 × (2x + 1x)

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Since we know the value of 'x', let's use it to find the length and the width.

Length = 2x = 2 × 14 = 28

Width = 1x = 1 × 14 = 14

Since we now know the length and the width, let's find the area of the rectangle.

The formula to find the area of a rectangle:

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Substituting the values we have into the formula,

Area = 28 × 14

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Therefore, the area of the rectangle is 392 square yards.

Hope it helps. :)

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I think it would require 100 workers since 1 worker digs up 1 yard.

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