Question

The width of a rectangle is 9 ft less than its length. The area of the rectangle is 70 ft2. Find the length and width.

Answer 1

Answer:

length is 14ft and breadth is 5 fts

Step-by-step explanation:

let Length be x

breadth or width =x-9

area of rectangle is l*b

so x(x-9)=70

by multiping we get

${x }^{2} - 9x - 70$

by factoring the equation we get x=14

the x-9=14-9=5

Answer 2

Answer:

The length is 14 ft. and breadth is 5 ft.

Step-by-step explanation:

Given :

Width = 9 ft less than its length

Area = 70 ft.²

To find :

The length and width

Solution :

Let the -

• Breadth be (y - 9)
• Length be y

⇒ Area = Length × Breadth

⇒ 70 = y × (y - 9)

⇒ 70 = y² - 9y

⇒ y² - 9y - 70 = 0

⇒ y² - 14y + 5y - 70 = 0

⇒ y(y - 14) + 5(y - 14) = 0

⇒ (y - 14)(y + 5) = 0

⇒ y = (-5) or y = 14

⇒ y = 14

Length = 14 ft.

____________________________

Breadth =

⇒ y - 9

⇒ 14 - 9

⇒ 5 ft.

Therefore, the length is 14 ft. and breadth is 5 ft.