Question

One side of the trapezoid is 10 Inches. The side parallel to this is twice as long as this side. The height is half as long as the given side length. Find the area of the trapezoid

Answer 1

To calculate the area of the trapezoid, use the formula (1/2) * (b1 + b2) * h. With one side being 10 inches, its parallel side 20 inches, and the height 5 inches, the area is 75 square inches.

Step-by-step explanation:

To find the area of a trapezoid, we use the formula: A = (1/2) × (b1 + b2) × h, where b1 and b2 are the lengths of the parallel sides, and h is the height of the trapezoid.

According to the question, one side (b1) of the trapezoid is 10 inches. The side parallel to this (b2) is twice as long, so it is 20 inches. The height (h) is half as long as b1, therefore the height is 5 inches.

Now we plug these values into the formula:

A = (1/2) × (10 inches + 20 inches) × 5 inches
A = (1/2) × 30 inches × 5 inches
A = 15 inches × 5 inches
A = 75 square inches

Thus, the area of the trapezoid is 75 square inches.

Answer 2

___
/ ___ \ Let's imagine a trapezoid looks like this. The two parallel lines would be the top and the bottom lines.

The 10 in. side would be either the top or bottom line. The other parallel line is twice as long, meaning it's 2 times longer. So you multiply 10 in x 2 = 20 in.

The given side length = 10 inches.
Height = half as long, meaning it's half of 10 in. = 5 in.

Formula of a trapezoid =
`(a+b)/(2)` x height
Where a and b are bases. The top and bottom of the trapezoid are bases.

Area trapezoid =
`(10 + 20)/(2)` x 5 =
`(30)/(2)` x 5 = 15 x 5 = 75 in² <-- area means the unit is squared