Question

The area of a rectangle is 851 m² and its breath 23m. Find its length and perimeter.

Answer 1

Answer:

To find the area, we must first find out the measurements of the rectangle’s length and breadth (as Area = Length * Breadth)

l = length

b = breadth

We know the length is twice the breadth, therefore l = 2b

We also know that the perimeter p = 60m and can also be expressed as a sum of its sides where p = l + l + b + b = 60 which simplified is:

60 = 2l + 2b

Now we have 2 variables, but thankfully we were given a ratio (l = 2b) relating the two. Substituting 2b in for l gives us:

60 = 2(2b) + 2b = 4b + 2b = 6b

60 = 6b

b = 10 m

Now that we know the breadth we can find the length:

l = 2b → l = 2(10) = 20 → l = 20 m

With a breadth of 10 m and a length of 20 m, we can now find the area which is found by Area = Length * Breadth:

A = l*b = 20m * 10m = 200m^2 → A = 200 m^2

Answer 2

Answer:

length=37m. Perimeter=120m

Step-by-step explanation:

Given that

breadth =23m

Area of rectangle =851m²

let take length as L

Area of rectangle

= length×breadth

851 = L×23

L = 851/23

L = 37m

Perimeter of rectangle

= 2(length+breadth)

=2(37+23)

= 2×60

= 120m

The Final answer is,

Length = 37m

Perimeter = 120 m