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tatyana61 [14]
3 years ago
14

The squares are identical. What is the area of each square?

Mathematics
1 answer:
Nastasia [14]3 years ago
6 0

Answer:

A = 256 units^2

Step-by-step explanation:

If the squares are identical, then the side lengths are identical

3x+7 = 5x+1

Subtract 3x from each side

3x+7-3x = 5x-3x+1

7 = 2x+1

Subtract 1

7-1 =2x+1-1

6 = 2x

Divide by 2

6/2 =2x/2

3 =x

The side length is 3x+7 = 3*3 +7 = 9+7 = 16

The area is

A = s^2 where s is the side length

A = 16^2

A = 256 units^2

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What is the volume of the composite figure? Explain your work. A complete answer should include how you broke up the figure, whi
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Answer:

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Step-by-step explanation:

The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.

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The volume of a trapezoidal prism is given by V=\frac{b_1+b_2}{2}\cdot l\cdot h, where b_1 and b_2 are bases of the trapezoid, l is the length of the height of the trapezoid and h is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases (\frac{b_1+b_2}{2}) multiplied by the trapezoid's height (l).

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