Question

Permeter of rectangle 154m if length is twice and 2cm more than its breadth find L and b .​​

Answer 1

`b = 25.66m`

Explanation:

The perimeter of this rectangle equals

`2l + 2b = 154m`

First, convert the 2 centimeters to meters.

`1m = 100cm \: \: \: or \: \: \: 0.01m = 1cm`

`2cm = 0.02m`

Then write an equation for the length in terms of the breadth.

`l = 2b + 0.02m`

Next, plug in the equation for L into the equation for the rectangle...

`2(2b + 0.02m) + 2b = 154m`

now, solve for b...

multiply 2 through the parentheses...

`4b + 0.04m + 2b = 154m`

subtract 0.04m from both sides and add the b terms together...

`6b =153.96m`

then divide both sides by 6

`b = 25.66m`