Question

CASE STUDY THE QUESTIONS AND ANSWER THE EXTRACT QUESTIONS:

Revanth purchased a plot for agricultural activity. The layout of the plot is as shown below. The length of the plot is twice the breadth and the perimeter is 750 m. For safety purpose he decided to fence the plot at the rate of Rs 50 per meter.

i. Frame a linear equation in one variable from this situation.
a. 750= 2(2x+x) units
b. 750= 8x units
c. 750 = 2(3x) units
d. 750 = 2x+x units

iii. The measurement of dimensions of the plot are ________
a. l = 125 m, b = 250 m
b. l = 250 m, b= 125 m
c. l= 175 m, b= 200 m.
d. l = 200 m, b = 175 m.

iv. Find the cost of fencing the plot.
a. Rupees 75,000
b. Rupees 50,000
c. Rupees 37,500
d. Rupees 57,000.

v. Revanth planted mango saplings for half the area of the plot and the rest he planned to cultivate vegetables. How much area is left for cultivating vegetables?
a. 31250 m2
b. 32000 m2
c. 20000 m2
d. 75000 m2

Answer 1

Answer:

Step-by-step explanation:

i. Answer:

(a)750= 2(2x+x) units

iii. Answer:

(b)Length=250m

Breadth=125m

iv. Answer:

(c)Rupees 37,500

Answer 2

Answer:

As given below

Given data:

Length of the plot is twice the breadth

and perimeter of the plot = 750 m  

the cost of the fence per meter = Rs. 50  

Given questions:

i. Frame a linear equation in one variable from this situation.

Let x be the breadth of the plot

then length of the plot = 2x

∴ perimeter of the plot  = 2(2x+x) units

from given data perimeter = 750

        ⇒  750 = 2(3x) units  

The correct answer is option (c)  750 = 2(3x) units  

iii. The measurement of dimensions of the plot are ______ .

from above question  2(3x) = 750 m

                                    6x = 750

                                      x = 125 m

⇒ breadth = x = 125 m

⇒ length   = 2x = 2(125) = 250 m  

The correct answer is option (b) l = 250 m, b= 125 m  

iv. Find the cost of fencing the plot.                              

given that cost of fence per meter = 50 Rs.

the cost per 750 m = 750 × 50 = 37500 Rs.

The correct answer is 37500 Rs.

v. Revanth planted mango saplings for half the area of the plot and the rest he planned to cultivate vegetables. How much area is left for cultivating vegetables?

from given data area of the plot = length × breadth

                                                     = 250 × 125 = 31250 m²  

here Revanth  planted mango saplings for half of the area

the area of mango saplings = 31250/2 = 15625 m²  

the area left for cultivating vegetables = 31250 - 15625 = 15625 m²

the correct answer is 15625 m² [ which is not included in options ]