Question

Complete exercises 1-5 to find the area of the figure.

1. Find length x

2. Find length y

3. Find the area of the rectangle

4. Find the area of the trapezoid

5. Add to find the area of the figure.

Answer 1

Length x is 8 in, y is 6 in, area of the rectangle, trapezoid and figure are 48 in², 72 in² and 120 in² respectively.  

Step-by-step explanation:

• Step 1:

Find length x.

⇒ x = 8 in (∵ opposite sides of a rectangle are equal)

• Step 2:

Find length y.

⇒ y = 12 - 6 = 6 in

• Step 3:

Find the area of the rectangle with length = 8 in and width = 6 in

⇒ Area = length × width = 8 × 6 = 48 in²

• Step 4:

Find area of the trapezoid with height = 6 in

⇒ Area of trapezoid = 1/2 (sum of parallel sides) × height

                                  = 1/2 (16 + 8) × 6

                                  = 1/2 × 24 × 6 = 72 in²

• Step 5:

Find the area of the figure.

⇒ Area of the figure = area of the rectangle + area of the trapezoid

                                  = 48 + 72 = 120 in²