Question

What is the area of the geometric figure 20 points

Answer 1

72 cm²

Explanation:

We can split this composite figure into 3 simple shapes:

• 2 rectangles
• 1 triangle

First, we can solve for the area of the rectangles:

A(rect) = length × width

A(rect1) = 4 × (9 - 3) = 24

A(rect2) = 10 × 3 = 30

Next, we can solve for the area of the triangle:

A(triangle) = (1/2) × base × height

A(triangle) = (1/2) × (10 - 4) × 6

A(triangle) = 3 × 6 = 18

Finally, we can add each the simple shapes' areas together to get the area of the whole figure.

A = A(rect1) + A(rect2) + A(triangle)

A = 24 + 30 + 18

A = 72 cm²