There is a narrow rectangular plot, reserved for a school, in Mahuli village. The length and breadth of the plot are in the ratio 11 : 4. At the rate Rs 100 per metre it will cost the village panchayat Rs 75000 to fence the plot. What are the dimensions of the plot?

Solution

Let the length = 11x metres
and breadth = 4x metres

∴         Perimeter = 2(Length + Breadth)
                        = 2(11x + 4x)
                        = 2 $cross times$ 15x
                         = 30x

∴ Cost of fencing = Rs 100 $cross times$ 30x
= Rs 3000x
But the cost of fencing is Rs 75000.

∴ 3000x = 75000.
or $x equals 75000 over 3000 equals 25$

∴ Length = 11 $cross times$ 25 = 275 metres
Breadth = 4 $cross times$ 25 = 100 metres

For Daily Free Study Material Join wiredfaculty

Linear Equations In One Variable

There is a narrow rectangular plot, reserved for a school, in Mahuli village. The length and breadth of the plot are in the ratio 11 : 4. At the rate Rs 100 per metre it will cost the village panchayat Rs 75000 to fence the plot. What are the dimensions of the plot?

Some More Questions From Linear Equations in One Variable Chapter

Solve the following equation:

6 = z + 2

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Location

For Daily Free Study Material Join wiredfaculty

Linear Equations In One Variable

There is a narrow rectangular plot, reserved for a school, in Mahuli village. The length and breadth of the plot are in the ratio 11 : 4. At the rate Rs 100 per metre it will cost the village panchayat Rs 75000 to fence the plot. What are the dimensions of the plot?

Some More Questions From Linear Equations in One Variable Chapter

Solve the following equation:6 = z + 2

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Solve the following equation:

6 = z + 2