Question

The length of a rectangle is four more than three times the width. The perimeter of the rectangle is 64 meters. What is the length of the rectangle?

Answer 1

please mark it brainliest......

Answer 2

Answer:

25m

Step-by-step explanation:

Concept= Perimeter

Given= The relation of length and breadth with the perimeter of rectangle.

To find= The length and breadth.

Explanation=

We have been given that the length of a rectangle is four more than three times the width. The perimeter of the rectangle is 64 meters. What is the length of the rectangle?

We know that Perimeter of rectangle is 2(x+y), where x = length and y= breadth.

The given perimeter is 64 m.

Let the length be x and breadth be y.

We have been given the relation that the length of rectangle is 4 more than three times the width.

According to the relation, x = 4 + 3y

Length = 4 +3y

Breadth =  y

Perimeter = 2(x+y)

64 = 2( 4 + 3y + y)

64/2 = ( 4 + 4y)

4+ 4y = 32

4y= 32-4

4y = 28

y = 28/4

y = 7

So breadth = y = 7m

length = x = 4+3y

x = 4+3*7

x= 4+21

x =25

Therefore the length is 25m of the rectangle.

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