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iris [78.8K]
2 years ago
7

There is a pair of parallel sides in the following shape. what is the area of the shape? units^2

Mathematics
1 answer:
den301095 [7]2 years ago
3 0

Answer:

A = 15 units²

Step-by-step explanation:

The figure has 1 pair of parallel sides and is therefore a trapezium.

The area (A) of a trapezium is calculated as

A = \frac{1}{2} h (b₁ + b₂ )

where h is the perpendicular height between bases and b₁, b₂ are bases

here h = 3, b₁ = 3 , b₂ = 7 , then

A = \frac{1}{2} × 3 × (3 + 7) = 1.5 × 10 = 15 units²

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In the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.

<h3>What is the triangle?</h3>

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

In the first diagram:

The sum of the 5k + 20 and 7k + 40 is 180

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