Question

Find the area of field MNOP if PN = 20.8 m, MA = 12.4 m and BO = 16.6 m.

Also find the cost of reaping the field at the rate of Rs. 45 per m2

.​

Answer 1

The area of the field is 301.6 m²

The cost of reaping the field is 13572 Rs.

Step-by-step explanation:

The area of the field = Area of the triangle MNP + Area of the triangle NOP

We know that the area of a triangle is given by

Area = (1/2) × Base × Height

Therefore,

The area of the field

$=\frac{1}{2}\times PN\times MA+\frac{1}{2}\times PN\times BO$

$=\frac{1}{2}PN(MA+BO)$

$=\frac{1}{2}\times 20.8\times (12.4+16.6)$

$=\frac{1}{2}\times 20.8\times 29$

$=301.6$ m²

Rate of reaping the field = Rs. 45 per m²

Therefore, the cost of reaping the field

$=301.6\times 45$ Rs.

$=13572$ Rs.

Hope this answer is helpful.

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Answer 2

Given : PN = 20.8 m MA = 12.4 m and BO = 16.6 m.

To Find : Area of field MNOP

 cost of reaping the field at the rate of Rs. 45 per m²

Solution:

Area of field MNOP = Area of ΔMNP + Area of ΔONP

Area of ΔMNP = (1/2) PN * MA

Area of ΔONP = (1/2) PN * BO

Area of field MNOP =  = (1/22) PN * MA + (1/2) PN * BO

= (1/2) PN ( MA + BO)

= (1/2) (20.8 ) ( 12.4 + 16.6)

= 10.4 ( 29)

= 301.6 m²

Cost of reaping the field = 45 x   301.6

= 13,572 Rs

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