Question

The length of a rectangular poster is 3 inches less than the width. The perimeter is 38 inches. Find the length

Answer 1

length =8

Explanation:

x= width

x-3(3 inches less than the width)

x+x-3+x+x-3=38

4x-6=33. add 6 on both sides

4x=44 divide by 4

x=11. plug 11 in for x because 11 is the width. in the equation x-3. (x=width) 11-3= 8. The length is 8.

Answer 2

Answer: Breadth = 11 ; Length = 8

Explanation:

Let the width of the rectangle be 'x'

Length of the rectangle = x - 3

Perimeter of the rectangle = 38

Perimeter of rectangle formula = 2 ( length + breadth )

Substitute:

2 ( x + x-3 ) = 38

2 ( 2x - 3 ) = 38

2x - 3 = 19

2x = 19 + 3

2x = 22

x = 11

Therefore, the breadth = 11

Length = x-3 = 11 - 3 = 8

To check, find the perimeter:

2( 11 + 8)

= 2 ( 19 )

= 38.

We get the same perimeter so the answer is correct.