Question

For a rectangle with a perimeter of 20 cm, the

width of the rectangle is one-third its length. Use

an equation to find the length and width of the

rectangle.

Answer 1

Answer:

The area is  

24

c

m

2

Step-by-step explanation:

Let  a

and  

b

be the sides of the rectangle.

The width  

a

is  

4

c

m

,

If perimeter is  

20

c

m

then we can write  

2

a

+

2

b

=

20

a

+

b

=

10

4

+

b

=

10

b

=

6

Now we can calculate the area:  

A

=

a

⋅

b

=

4

⋅

6

=

24

Answer: Area of this rectangle is  

24

c

m

2

Answer 2

Answer:

Given : In a rectangle

Perimeter- 20 cm

lenght- 3x

widht- x

we know that perimeter of rectangle- 2(L+B)

2(L+B)=20 cm

2(3x+x)= 20

4x= 20/2

4x= 10

x= 2.5cm

so, widht = 2.5 m

length = 3x

=> 3(2.5)

=> 7.5 cm