Mr. Hernandez's backyard is shaped like a trapezoid with a height of 10 m, a top base of 15 m, and a bottom base of 19 m. In his backyard, he has a circular vegetable garden whose radius is 3 m.

What is the area of the backyard without the garden?

Use 3.14 for pi.

Enter your answer in the box.

Question

Mathematics

Isabella Hahn

7 December, 10:24

Mr. Hernandez's backyard is shaped like a trapezoid with a height of 10 m, a top base of 15 m, and a bottom base of 19 m. In his backyard, he has a circular vegetable garden whose radius is 3 m.

What is the area of the backyard without the garden?

Use 3.14 for pi.

Enter your answer in the box.

+2

Answers (1)

Know the Answer?

Annabella Lopez · Answer 1

The area of the trapezoid is calculated through the equation,

A = 0.5 (b₁ + b₂) h

where A is area, b₁ and b₂ are the lengths of the bases and h is the height. Substituting the known values,

A = 0.5 (15 m + 19 m) (10 m)

A = 170 m²

The area of the garden is 170 m².

Mr. Hernandez's backyard is shaped like a trapezoid with a height of 10 m, a top base of 15 m, and a bottom base of 19 m. In his backyard, he has a circular vegetable garden whose radius is 3 m.What is the area of the backyard without the garden?Use 3.14 for pi.Enter your answer in the box.

Mr. Hernandez's backyard is shaped like a trapezoid with a height of 10 m, a top base of 15 m, and a bottom base of 19 m. In his backyard, he has a circular vegetable garden whose radius is 3 m.

What is the area of the backyard without the garden?

Use 3.14 for pi.

Enter your answer in the box.