Question

A rectangle's area is 7 units larger than its perimeter. The width of the rectangle is 3 units. What is the length of the rectangle in units?

Answer 1

Let length be x

Area

• LB
• 3x

Now

• area=2(L+B)+7
• 3x=2(3+x)+7
• 3x=13+2x
• x=13

Answer 2

length is 13 units

Explanation:

case 1

l×b= 7+2(l+b)

lb = 7+2l+2b

given , b= 3

so,

l×3 = 7+ 2× l + 2× 3

3l -2l = 13

l = 13