Chapter E, Problem 11.1EX

To determine

To find the area of the rectangle.

Answer to Problem 11.1EX

Option (a)

Explanation of Solution

Given information: One side and the perimeter of the rectangle is 14 and 44 units.

Concept used:

Let $a\text{and}b$ be length and the breadth of the rectangle, then

Perimeter = 2(a + b)

Area = a b

Here, a =14

  $\begin{array}{l}2(a+b)=44\\ a+b=22\\ b=8,\text{since}a=14\end{array}$

Area = (14)(8) = 112 square units.

Hence, the area of the rectangle is 112 square units.