Question

The length of a rectangle is twice its width. The perimeter is 60 ft. Find its area.

Answer 1

Area = 200ft²

Explanation:

Perimeter of a rectangle = 2(length+width)

Area of a rectangle = length * width

Then:

g = 2w Eq. 1

60 = 2(g+w) Eq. 2

g = length

w = width

From Eq. 2

60 = 2g + 2w

60 - 2g = 2w Eq. 3

matching Eq. 1 and Eq. 3

g = 60 - 2g

g + 2g = 60

3g = 60

g = 60/3

g = 20 ft

From Eq. 1

g = 2w

20 = 2w

20/2 = w

w = 10 ft

Area

area = length * width

area = 20ft * 10 ft

area = 200ft²

Answer 2

Explanation:

From a hot-air balloon, Violet measures a 24

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angle of depression to a landmark that’s 806 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest tenth of a foot if necessary.