Question

the perimeter of a rectangle is 1600m. if the length of the rectangle is four times its breadth. find the area​

Answer 1

Answer:

Step-by-step explanation:

Since area is equal to length times width for a rectangle, we can write that:

1600 = length times width  

1600 = 4w * w

This is equivalent to :

1600 = 4 w ^2

If you solve for w by dividing both sides of the equation by 4:

1600/4 = 4w^2/4

400=w^2

w= 20 m

(because 20 times 20 is 400)

Then the length is 4w or 4*20 or 80 m

perimeter = 2*(l+b)

=2*(80+20)

=200m

ANSWERED BY GAUTHMATH

Answer 2

Answer:

perimeter = 1600 m

breadth = x

length = four times x , that is 4x

perimeter = 2(l+b)

2×(4x+x) = 1600

8x + 2x= 1600

10x = 1600

x = 1600÷10=160

so, breadth = x = 160m

length = 4 x = 4×160= 640m

Area = l×b = 640 × 160 = 102400m²