Question

The breadth of a rectangle is 4÷5th of its length. If the perimeter is 180m , then find the area of rectangle.

Answer 1

Answer:

this means that

2*4/5x + 2*x

=180

8/5x + 2x=180

18/5x=180

x=180*5/18

x=50

so the sides are

40 and 50

area = 40*50

=2000m^2

Step-by-step explanation:

Answer 2

Answer:

The breadth of a rectangle is 4÷5th of its length. If the perimeter is 180m then the area of the rectangle is $4500m^{2}$

Step-by-step explanation:

A rectangle is a polygon with four sides  as shown in the figure

The perimeter of a rectangle is the total linear distance along its boundary

For a rectangle with a length $l$ and breadth, $b$ the perimeter is given by the formula,

$P=2l+2b$

From the question, it is given that the breadth of the rectangle is $\frac{4}{5}l$

⇒

$b=4l/5$ (equation $1$)

the perimeter is $P=180m$

substitute the given values in the equation for perimeter

$2l+2b=180$

$2l+2*4l/5=180$

$9l/5=90\\l=90*5/9=50m$

to get breadth substitute $l=50m$ in equation $1$

⇒$b=4*50/5=40m$

Now the area of the rectangle is $A=l*b$

$A=50*40=2000m^{2}$