# Algebra - Quadratic Equation Word Problems

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1:The outside of a frame measures 14 in by 20 in. 224 in^2 of the picture shows. Find the thickness of the frame?

2:The outside of a frame measures 11 in by 12 in. 30 in^2 of the picture shows. Find the thickness of the frame?

3: A car travels 910 mi at a certain speed. if the speed had been 5 miles per hour faster, the trip would have been made in 1 hr less. Find the speed.

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#### Solution Preview

(1) Let the frame thickness be x inches. Then the picture has a width of 20 - 2x inches and a height of 14 - 2x inches

Area = (20 - 2x)(14 - 2x) = 224

280 - 68x + 4x^2 - 224 = 0

4x^2 - 68x + 56 = 0

x^2 - 17x + 14 = ...

#### Solution Summary

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