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Word problems – Quadratic functions
1) The length of a rectangle is 3cm more than the width. The area is 70cm². Find the dimensions of the rectangle.
(10, 7)
(6, 10)
(4, 8)
(6, 7)
1/10
Solution
Answer:
(10, 7)
Explanation:
Let the width be x cm. Length = (x + 3) cm
Area = x(x + 3) = 70
x² + 3x – 70 = 0
(x + 10) (x – 7) = 0
x = -10 or x = 7, negative value is rejected.
Hence, width = 7 cm and length = 10 cm
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