Question

Jake drew the sketch below of a kite that he wants to make.

A kite with height equal to the sum of 10 centimeters and 50 centimeters and the width equal to the sum of 20 centimeters and 20 centimeters.
Part A
Which of the following expressions can be used to find the area of the kite? Select all that apply.
2 (12 × 20 × 50) + 2(12 × 20 × 10)
2 (12 × 20 × 60)
2 (20 × 50) + 2(20 × 10)
12 (20 × 50) + 12(20 × 10)
12(40 × 60)
Part B
What is the area of Jake's kite? Enter your answer in the box.

area =
cm2

Answer 1

Part A: 2 (20 × 50) + 2(20 × 10)

Part B: 1200 cm²

Explanation:

Part A:

2 (20 × 50) + 2(20 × 10)

= 2(1000) + 2(200)

= 2000 + 400

= 2400

Part B:

Divide the answer by 2.

= 2400/2

= 1200 cm²

Because the formula to find the area of a kite is

1/2 x (p x q), where p is the sum of a diagonal and d is the sum of a diagonal.