Question

The length of a rectangle is 3cm greater than its width. the perimeter of the rectangle is 34cm. find its length.​

Answer 1

Answer:

length: 10 cm and width: 7 cm

Step-by-step explanation:

Let the width be x

then the length will be x + 3

perimeter of rectangle: 2 ( length + width )

using the formula:

2 ( x + 3 + x ) = 34

2 ( 2x + 3 ) = 34

4x + 6 = 34

4x = 28

x = 7

The width is 7 cm

Length:

x + 3

7 + 3

10 cm

Answer 2

Answer:

10cm

Step-by-step explanation:

The formula for perimeter is:

$P=2(l+w)$

Let the width of the rectangle be x then the length would be...

3+x

Now, let's plug these values into the equation and solve. (Note we are also given perimeter is 34 cm):

$34=2(x+3+x)\\34=2(2x+3)\\Distribute\ the\ 2\ to\ each\ term\ in\ the\ parentheses\\34=2(2x)+2(3)\\34=4x+6\\Subtract\ 6\ from\ both\ sides\\4x=28\\Divide\ both\ sides\ by\ 4\\x=7$

And since the length is x+3 then it is...

x+3=7+3=10cm