Question

Taylor purchased a rectangular plot of area 634$m^2$. The length of the plot is 2m more than thrice its breadth. Find the length and breadth (approximate values).

• A. 34.6m & 11.20m
• B. 88m & 24m
• C. 32m &16m
• D. 44.6m & 14.20m

Answer 1

The correct option is D

44.6m & 14.20m

Let x and y be the length and breadth of the rectangle respectively.

Given, x= 2+3y

Area of the rectangle = length × breadth = xy

$\Rightarrow$ 634= (2+3y)y

$\Rightarrow$ 634= 2y+3$y^2$

So, 3$y^2$ +2y- 634 = 0

By solving the quadratic equation, we get, x = 44.6m and y = 14.20m (approximately).