Question
Find the area of the isosceles trapezoid below by using the area formulas for rectangles and triangles.
a = 10 cm, b = 15 cm, and c = 5 cm
*picture not drawn to scale
A.
250 cm2
B.
200 cm2
C.
175 cm2
D.
800 cm2
a = 10 cm, b = 15 cm, and c = 5 cm
*picture not drawn to scale
A.
250 cm2
B.
200 cm2
C.
175 cm2
D.
800 cm2
Answers
GPT 3.5
To find the area of the isosceles trapezoid, we can split it into a rectangle and two right triangles.
The base of the trapezoid is 15 cm, so the base of the rectangle is 15 cm. The height of the trapezoid is 5 cm, corresponding to one of the sides of the right triangles.
The rectangle has an area of base * height = 15 cm * 5 cm = 75 cm²
Each right triangle has a base of 10 cm (half of the top base of the trapezoid, which is 20 cm) and a height of 5 cm.
The area of each triangle is (1/2) * base * height = (1/2) * 10 cm * 5 cm = 25 cm²
Since there are two right triangles, the total area of both triangles is 50 cm²
Adding the area of the rectangle and the two triangles, the total area of the isosceles trapezoid is 75 cm² + 50 cm² = 125 cm²
Therefore, the correct answer is not among the options provided.
The base of the trapezoid is 15 cm, so the base of the rectangle is 15 cm. The height of the trapezoid is 5 cm, corresponding to one of the sides of the right triangles.
The rectangle has an area of base * height = 15 cm * 5 cm = 75 cm²
Each right triangle has a base of 10 cm (half of the top base of the trapezoid, which is 20 cm) and a height of 5 cm.
The area of each triangle is (1/2) * base * height = (1/2) * 10 cm * 5 cm = 25 cm²
Since there are two right triangles, the total area of both triangles is 50 cm²
Adding the area of the rectangle and the two triangles, the total area of the isosceles trapezoid is 75 cm² + 50 cm² = 125 cm²
Therefore, the correct answer is not among the options provided.