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Harman [31]
2 years ago
10

A parallelogram has a height of x cm. The length of its base is 4 cm greater than its height. A triangle has the same height as

the parallelogram. The length of the triangle’s base is 20cm.
What is the value when the triangle and the parallelogram have the same area?
Mathematics
1 answer:
LuckyWell [14K]2 years ago
4 0

The value of x when the triangle and the parallelogram have the same area is 6 units

<h3>The dimensions</h3>

The dimension of the parallelogram is given as:

  • Height = x
  • Base = 4 + x

The dimension of the triangle is given as:

  • Height = x
  • Base = 20

<h3>Areas</h3>

The area of a shape is the amount of space it occupies

The area of the parallelogram is calculated as:

Area = x (4 + x)

The area of the triangle is calculated as:

Area = 0.5 \times 20 \times x

Area = 10x

Both areas are equal.

So, we have:

x(4 + x) = 10x

Divide both sides by x

4 + x = 10

Subtract 4 from both sides

x =6

Hence, the value of x is 6 units

Read more about areas at:

brainly.com/question/2126265

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