A rectangular classroom has an area of 300 square feet. The length of the classroom is 5 feet longer than the width, w. Create an equation in terms of w to model this situation. Then, rewrite the equation in standard form and use the quadratic formula to solve for w.

Question

Juan Bass

Mathematics

4 August, 17:12

A rectangular classroom has an area of 300 square feet. The length of the classroom is 5 feet longer than the width, w. Create an equation in terms of w to model this situation. Then, rewrite the equation in standard form and use the quadratic formula to solve for w.

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Answers (1)

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Brylee Burke · Answer 1

w^2 + 5w = 300

Step-by-step explanation:

A = length x width

A = 300

Width = w

length = w + 5

Therefore

300 = (w) x (w + 5)

300 = w^2 + 5w

w^2 + 5w = 300