18 - The length of a rectangle is twice its Breadth. If the area of the rectangle is 520 CmFind the
length and breadth of rectangle.
Answers
Answer:
let the breadth be x.
length = 2x.
area = 520 cm ²
then, 2x × x = 520.
or, 2x = 520
or, x = 520
2
or x = 260.
then, breadth = 260 cm
length = 260/2 = 130 cm
Given
length of a rectangle is twice its Breadth
Area of the Rectangle is 520cm²
To Find
We have to find the length and breadth of the Rectangle
Since,we don't know the length and breadth of the Rectangle so,let us assume some Variable for it.
Let the breadth of the Rectangle be 'x'
then the length be 2x
Since,area of Rectangle is given so,we will apply formula for area of Rectangle and put values of length and breadth in it.
Area of Rectangle=length × breadth
Area of Rectangle= (2x )× (x)
⇒520= 2x²
⇒x²=520÷2=260
⇒x=√260=2√65
⇒x=16.12cm
hence, breadth of the Rectangle is 16.12cm
length be 2×16.12=32.24cm
Check
Area of Rectangle= 16.12 × 32.24= 519.70cm²
Area of Rectangle= 520cm²(approx)