The diagram shows a plan for the rectangular house with an attached porch. The combined area of the house and the porch is 733ft

Question

3 years ago

15

2. What is the value of x? Show your work. The numbers are 59ft, 13ft, 6 ft, 7ft, 9ft is the porch, x ft

1 answer:

Nikolay [14] · Answer 1 · 2023-02-13T19:49:28+03:00

The value of x in the diagram is 8 feet that makes the combined area of the house and the porch to be 733 ft²

<h3>How to calculate area?</h3>

Combined area = big rectangle + smaller rectangle - triangle

Hence:

733 = (13 * (59 - x)) + (x * 9) - 0.5(9 - 7) * (x - 6)

733 = 767 - 13x + 9x - x + 6

x = 8 feet

The value of x in the diagram is 8 feet that makes the combined area of the house and the porch to be 733 ft²

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