Question

a rectangular garden is 15ft longer than it is wide. it’s area is 2700ft^2.what are it’s dimensions?

Answer 1

Step-by-step explanation:

length=x+15

breadth=x

area=x(x+15)=x2+15x=2700

x2+15x-2700=0

x2+60x-45x-2700=0

x=45=breadth

length=60

Answer 2

Answer :

• Length = 60ft

• Breadth = 45ft.

Explanation :

Given,

• Length of reactangle is 15ft more than its width.

Let,

• It's width be x

• It's length = 15 + x

We know that ,

• Area of reactangle = length × breadth.

$\implies \: 2700 = x \times (15 + x)$

$\implies \: 2700 = 15x + {x}^{2}$

$\implies \: {x}^{2} + 15x - 2700 = 0$

$\implies \: {x}^{2} + 60x - 45x - 2700 = 0$

$\implies \: x( x + 60) - 45(x + 60) = 0$

$\implies \: (x - 45)(x + 60) = 0$

=> The values of x are 45 and (-60) ft.

since length can't be negative ,

The value of x is 45.

________________________

• The measure of width = 45ft.

• The measure of length = 45 + 15 ft. = 60ft.