89,807 views
2 votes
2 votes
Can you please help me out with a question

User EvilSyn
by
2.2k points

1 Answer

23 votes
23 votes

Answer

Area of the green parallelogram = 240 square feet

Step-by-step explanation

Area of a parallelogram = base x height

For the first parallelogram

Area = 60 square feet

Step 1: find the base of the first parallelogram

Base = ?

Height = 7.5 ft

60 = 7.5 x b

60 = 7.5b

Divide both sides by 7.5

60/7.5 = 7.5b/7.5

b = 8 ft

The base of the first parallelogram is 8ft

Since, the two parallelogram are similar

Step 2: we need to find the base of the second parallelogram

h1/b1 = h2/b2

7.5 / 8 = 15 / b2

Cross multiply

7.5 x b2 = 15 x 8

7.5b2 = 120

Divide both sides by 7.5

b2 = 120/7.5

b2 = 16 ft

Therefore, the area of the secon parallelogram

Area = b x h

Area = 16 x 15

Area = 240 square feet

Therefore, the area of the green parallelogram is 240 square feet

User Kenton Varda
by
2.9k points