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The length of a rectangle is 10 inches more than 4 times the width. If the area of the rectangle is 150 square
inches, find the length and the width.

Sagot :

Answer:

width = 8, length = 42

Step-by-step explanation:

Let x = width, then length = 4x+10.

A = l x w

336 = x(4x+10) put into standard form

4x2 + 10x - 336 = 0 divide by 2

2x2 + 5x - 168 = 0 and solve using the quadratic formula and get

-21/2 and 8, the neg answer will not work, so the width = 8, length = 42