# The Area of a Rectangle is X3 – 8x2 + 7 and One of Its Sides is X – 1. Find the Length of the Adjacent Side. - Mathematics

Sum

The area of a rectangle is x3 – 8x + 7 and one of its sides is x – 1. Find the length of the adjacent side.

#### Solution

Area = x3 − 8x + 7

One side = x − 1

∴ Adjacent side = (x3 − 8x + 7) ÷ (x − 1)

"x"-1)overline("x"^3-8"x"+7)("x"-7"x"-7

x3 − x2
−       +
− 7x2 + 7x
− 7x2 + 7x
+       −
− 7x + 7
− 7x + 7
+      −
×

∴ Other side = x2 − 7x − 7

Concept: Division of Algebraic Expressions - Dividing a Polynomial by a Polynomial
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#### APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 11 Algebraic Expressions
Exercise 11 (D) | Q 3 | Page 146