A trapezoid has an area of [tex]$20 \, \text{cm}^2$[/tex] and a height of [tex]$5 \, \text{cm}$[/tex]. What is the sum of its top and bottom sides?
Answer (3)
A = 2 a + b h A - area h - height a+b - sum of its top and bottom sides
20 = 2 a + b ⋅ 5 4 = 2 a + b a + b = 8
The sum of its top and bottom sides is 8 cm.
To find the sum of the top and bottom sides of a trapezoid with an area of 20cm² and a height of 5cm, you can use the formula for the area of a trapezoid. By substituting the given values and solving for the sum of the two sides, you will arrive at the answer of 8 cm.
A trapezoid has an area of 20cm² and a height of 5cm.
Use the formula for the area of a trapezoid: Area = (1/2) * (a + b) * h, where a and b are the lengths of the two parallel sides, and h is the height.
Substitute the given values: 20 = (1/2) * (a + b) * 5. Solve for a + b to find the sum of the top and bottom sides of the trapezoid.
Thus, the sum of the top and bottom sides of the trapezoid is 8 cm.
The sum of the lengths of the top and bottom sides of the trapezoid is 8 cm. This is determined using the formula for the area of a trapezoid. By substituting the area and height into the formula, we find the required sum.
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