Question

the perimeter of a rectangular sheet is 170 cm if its breadth is 15cm less than its lenght, find the length also find its area​

Answer 1

Answer:

area= 700cm ^2

length = 35 cm

breadth = [35 - 15] = 20 cm

hope it helps you

stay safe

Answer 2

Solution

Given:-

• the perimeter of a rectangular sheet is 170 cm
• its breadth is 15cm less than its lenght

Find :-

• Lengths & Breadth of rectangle and also find area

Explanation

Using Formula

$\boxed{\underline{\tt{\red{Perimeter_{rectangle}\:=\:2\times(Length+Breadth)}}}}$

$\boxed{\underline{\tt{\red{Area_{rectangle}\:=\:(Length\times\:Breadth)}}}}$

Let,

• Length be x
• Breadth be y.

A/c to question,

==> perimeter of rectangle = 170

==> 2×(x + y) = 170

==> (x + y) = 170/2

==> (x + y) = 85_______________(1)

Again,

==> x = y - 15

==> x - y = -15_________________(2)

Add equation (1) & (2)

==> 2x = 85 - 15

==> 2x = 70

==> x = 70/2

==> x = 35

Keep Value of x in equ (2)

==> 35 - y = -15

==> y = 35 + 15

==> y = 50

_____________________________

Now, calculate area.

==> Area of rectangle = x . y

==> Area of rectangle = 35 . 50

==> Area of rectangle = 1750 cm²

___________________________

Hence

• Length of rectangle be = 35 cm
• Breadth of rectangle be = 50 cm
• Area of rectangle be = 1750 cm²

___________________