Request a call back

# CBSE Class 10 Answered

a person has a rectangular garden whose area is 100 sq m.he fences three sides of the garden with 30m barbed wire.On the fourth side, the wall of his house is constructed.find the dimensions of the garden.
Asked by | 20 Mar, 2013, 10:18: PM Expert Answer

Let the length and breadth if the rectangle be l m and b m respectively. Suppose the person builds his house along the length of the garden.

Given, Area of the rectangular garden = 100 m2

? lb = 100 ...(1)

Length of the barbed wire = 30 m

The barbed wire is fenced along the three sides of the garden,

? l + 2b = 30

? l = 30  2b ...(2)

From (1) and (2), we get

(30  2b) b = 100

?30b  2b 2 = 100

? b 2  15b + 50 = 0

? b 2  10b  5b + 50 = 0

? b(b  10)  5(b  10) = 0

? (b  10) (b  5) = 0

? b  10 = 0 or b  5 = 0

? b = 10 or b = 5

When b = 10, we get

l = 30  2b = 30 2 x 10 = 30  20 = 10

When b = 5, we have

l = 30  2b = 30  2 x 5 = 30  10 = 20

Thus, the dimension of the garden is 10 m x 10 m or 20 m x 5 m.

Answered by | 21 Mar, 2013, 10:30: AM

## Application Videos

CBSE 10 - Maths
Asked by Subuhiansari67 | 28 Sep, 2022, 10:11: PM ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by devchauhan25007 | 17 Jul, 2022, 04:29: PM ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by rajendrame089 | 28 Jun, 2022, 07:09: AM ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by gurjaeharsh | 16 Jun, 2022, 01:11: PM ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by geetayadav18081983 | 15 Jun, 2022, 01:19: PM ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by atharvsharma971 | 06 Jun, 2022, 10:30: PM ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by harshitpranjalraj24 | 03 Jun, 2022, 09:33: PM ANSWERED BY EXPERT
CBSE 10 - Maths
1,2&3 Asked by zk4656260 | 31 May, 2022, 05:32: PM ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by s.kmounesha | 23 May, 2022, 02:35: PM ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by ankur.spsharma | 02 May, 2022, 11:54: AM ANSWERED BY EXPERT