Question

length of a rectangular garden is 10 m and its breadth is 8 m. if a road of uniform width of x m is surrounded outside the park, find the area of the road in terms of x​

Answer 1

The answer is in very simple terms each and every step is explained in detail and in order.

Answer 2

The area of the road in terms of x​ is $36x+4x^2$

Step-by-step explanation:

Length of garden = 10 m

Breadth of garden = 8 m

We are given that a road of uniform width of x m is surrounded outside the park

Outer length = 10+x+x=10+2x

Outer breadth = 8+x+x=8+2x

Area of road = Outer Area - inner Area

Area of road = $(10+2x)\times(8+2x)-(10 \times8)$

Area of road =$(10(8+2x)+2x(8+2x))-80$

Area of road =$80+20x+16x+4x^2-80$

Area of road =$36x+4x^2$

Hence  the area of the road in terms of x​ is $36x+4x^2$

#Learn more:

A path of 2.5 m width surrounds a rectangular garden of length 10 and breadth 8 m. Area of the garden, inclusive of the path is

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