The length and breadth of a rectangular sheet of cardboard are given by…

MATHEMATICS · Subjective · CBSE · Mathematics · We Distribute, Yet Things Multiply · We Distribute, Yet Things Multiply

Problem

The length and breadth of a rectangular sheet of cardboard are given by

L(x)=2x^2+3x-1\;\text{cm},\qquad B(x)=x-4\;\text{cm}.

(a) Determine an expression for the area of the sheet in terms of

x

. (b) Using your expression from part (a), find the numerical value of the area when

x=5