Question

29.Through a rectangular field of length 90 m and breadth 60 m, two

roads are constructed which are parallel to the sides and cut each other

at right angles through the centre of the fields. If the width of each

road is 3m find

(i) the area covered by the road

(ii) the cost of constructing the roads at the rate of Rs. 110 per m2

.

(iii) the yield of the field was given to the poor people. What value is

depicted by them?​

Answer 1

Given:-

Length of Rectangular field = 90m

Breadth of Rectangular field = 60m

Width of road at centre = 3m.

Need To Find:-

Area of Roads

cost of constructing the roads at the rate of ₹110 per m²

Where:-

L denotes Length

B denotes Breadth

Explanation:-

[Take a look at Attachment] In this Question, We are provided with the length of Rectangular field that is 90m and Breadth that is 60m and there is small road at centre of Rectangular field of 3m that is cuts at right angles through centre of fields.

$\:$

Solution:-

PQ = 3m ; QR = 60m

EF = 90m ; FG = 3m

KL = 3m

⠀⠀

Area of Rectangular Road = QR × PQ

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 60 × 3

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 180m²

Hence, Area of Rectangular road is 180m2

∴Hence,AreaofRectangularroadis180m2

⠀⠀

_____________________________________

Now, We have to find the area Rectangular road EFGH.

Area of Rectangular road EFGH = L × B

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ = 90 × 3

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 270m²

Hence, Area of Rectangular road is 270m^2

_________________________________

∴Hence, Area of Rectangular road is 270m2