Question

The perimeter of a rectangle plot is 130 m and its area is 1000 sq. m take the length of the plot as x meters. Use the perimeter to write the value of breath in terms of x. Use the values of length, breath and area to write an equation in x. Solve the equation and calculate the length and breath of th plot

Answer 1

→ Perimeter = 2(length + breadth)

→ 130 = 2(x + breadth)

→ (130/2) = x + breadth

→ 65 - x = breadth {breadth}

Given, Area = 1000 m²

= > length * breadth = 1000

= > x * (65 - x) = 1000

= > 65x - x² = 1000

= > x² - 65x + 1000 = 0 {equation}

= > x² - 25x - 40x + 1000 = 0

= > x(x - 25) - 40(x - 25) = 0

= > (x - 25)(x - 40) = 0

= > x = 25 or 40

As x is length, it will be good, if we 40, so that breadth will be smaller (breadth = 65 - 40 = 20, when length = 45)

Therefore,

Length = 45 m

Breadth = 20 m

Answer 2

Step-by-step explanation:

I hope it helps ......

........ any doubts u can frankly ask in comments