Question

it is possible to design a reactangular park of perimeter 80m and area 400m2? If so, find its length and breadth.​

Answer 1

Answer:

The length of rectangular park is 20 meter

The breadth of rectangular park is 20 meter

Step-by-step explanation:

Given as :

The perimeter of rectangular park = 80 meters

∵  perimeter of rectangular park = 2 (length + breadth)

Let The length = L m

breadth = B m

So, perimeter of rectangular park = 2 (L +  B)

Or,  2 (L +  B) = 80 m

Or, L + B = $\dfrac{80}{2}$

i.e L + B = 40 m                     .........1

Again'

Area rectangular park = 400 m²

Area of rectangular park =A =  Length × Breadth

So, L × B = 400 m²

From eq 1

(40 - B ) × B = 400

Or, 40 B - B² = 400

i.e  B² - 40 B + 400 = 0

Or,  B² - 20 B - 20 B + 400 = 0

Or, B(B - 20) - 20 (B - 20) = 0

Or, (B - 20 ) (B - 20) = 0

∴ Breadth = B = 20 m

From eq 1

L = 40 m -  20 m

i.e Length = 20 m

Hence, The length of rectangular park is 20 meter

And the breadth of rectangular park is 20 meter . Answer