Question

find the breadth of a rectangular playground,if its area is 460m2 and the length is 23 m .Also find its perimeter​

Answer 1

Step-by-step explanation:

Breadth = 20 meter

We know that the area of a rectangle is the product of length and breadth. Thus,

Area A of the rectangular plot = Length x Beadth …………………………………….(1)

Given, length is 15% more than the breadth.

That is, Length = Breadth + (15/100) breadth

= Breadth + .15 x Breadth = (1.15)Breadth

∴ A = 1.15 x Breadth x Breadth = 1.15 x (Breadth)² ………………………………….…(2)

Given, A = 460 square meters

Substituting in (2),

460 = 1.15 (Breadth)²

Or, 460/1.15 = 1.(Breadth)² [Dividing both sides by 1.15]

Or, (Breadth)² = 460/1.5 = 400 = 20² square meter

Taking square root,

Breadth = ±20 meter

Since length is always a positive quantity, we discard the negative value to get

Breadth = 20 meter

Answer 2

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❇ Answer :-

Given, \\

Length = 23 m \\ breadth = ? \\

Area = 460 m^{2}

We know that

➡ Area of rectangle = Length ✖ Breadth

$\mapsto460 \: m^{2} = 23 \times breadth$

$\frac{460}{23} = breadth$

$\mapsto \: breadth = 20$

➡ Breadth of a rectangle is 20 m.

➡ Area of rectangle =Length ✖ Width

◾ 20 ✖ 23

◾ 460 m

➡ Perimeter of the rectangle = 2( Length + width)

◾ 2 ( 23 + 20 )

◾ 2 ( 43)

◾ 2 ✖ 43

◾ 86 m

➡ Perimeter of rectangle is 86 m.

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