Question

The perimeter of a rectangular piece of land is 130m and its area is 1000m2 .determine its dimensions

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

Length (l) = 65 m,

Breadth (b) = 25 m

Step-by-step explanation:

Dimensions of a rectangular piece:

Length = l m,

Breadth = b m ,

Perimeter (P) = 130m(given)

=> 2(l+b) = 130

=> l+b = 65 ---(1)

and

Area (A) = 1000 m² (given)

=> lb = 1000 m² ---(2)

(l-b)² = (l+b)² - 4lb

= 65² - 4× 1000

= 4225 - 4000

= 225

=> l-b = ±√225

=> l-b = ± 15 ---(3)

Add equations (1) and (3) , we get

=> 2l = 80

=> l = 40 m,

Substitute l = 40 m in equation (1) we get

=> 40 + b = 65

=> b = 65 - 40 = 25 m

Therefore,

Length (l) = 65 m,

Breadth (b) = 25 m,

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