Question

lenght of a rectanular garden is 10 m and its breadth is 8m . if a road of uniform width of xmeter is surrounded outside the park . find the area of the road in term of x​

Answer 1

Answer:

(20 +16x + 4x^2)$m^{2}$

Step-by-step explanation:

the area of the garden including road = lb

= {(10+2x)(8+2x)}m^2

= {80 + 20 + 16x + 4x^2}m^2

= (100 + 16x + 4x^2)m^2

the are of the garden = lb

= 10m * 8m = 80m^2

area of the road =  the area of the garden including road -  the area of the garden = {(100 + 16x + 4x^2) - 80}m^2

= {100 + 16x + 4x^2 -80}m^2

= (20 + 16x + 4x^2)m^2