Question

the perimeter of a rectangular garden is 190m and breadth is 10.5m.find the length and area of the garden

Answer 1

Perimeter of a rectangle = 2 (length+Breadth)
2 (l + 10.5) = 190
l+10.5 = 190/2 = 95
l = 95-10.5
l = 85.5

It's Area =

length × breadth
85.5×10.5
= 897.75 m²

Perimeter of a rectangle = 2 (length + breadth )

Area of a rectangle =

length× breadth .

Rectangle = It is a 2 dimensional figure having opposite sides parallel and equal and all angles = 90° each .

Answer 2

Given,

Perimeter of a rectangular garden = 190m

Breadth of same rectangle = 10.5 m

To find,

It's

- Length

- Area

Main solution :

Perimeter of a figure = sum of the lengths of all sides

Perimeter of rectangular = 2 ( length + breadth )

Let length of this rectangle be l

Now, substituting the values :

190 = 2 ( 10.5 + l )

We have one unknown variable l in this equation.

Solving for x using transposition :

190 = 21 + 2l

Taking 21 to RHS,

190 - 21 = 2l

169 = 2l

Taking 2 to RHS,

169/2 = l

l = 84.5 ( Answer )

Now,

Length of this rectangle = l = 84.5 m ( founded above )

Breadth of this rectangle = 10.5m

Area of this rectangle =( length × breadth ) unit^2

Substituting the values :

Area ( A ) = ( 84.5 × 10.5 ) m^2

A = 887.25 m^2 ( Answer )