Question

A path 1 m wide is built along the border inside a square garden of side 30 m. Find (1) the dred Ul lle path
(ii) the cost of planting the grass in the remaining portion of the garden at the rate of 35 per sq. m.
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Answer 1

Answer:

Let ABCD, the square garden of side= 30 m.

PQRS is the region inside the garden.

so,

PQ = (30 -1-1 ) = 28 m

also

PS = ( 30 – 1 – 1 ) = 28 m

(i) Area of the path = Area of ABCD – Area of PQRS

= [( 30 x 30) – (28 x 28)]

= 900 – 784

= 116 sq.m

(ii) Area of the remaining portion in which the grass is planted = Area of square PQRS

= 28 x 28

= 784 sq.m

cost of planting the grass in the region PQRS = area x cost = 764 x 40

=31,360

Step-by-step explanation:

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