Question

Two bulletin boards in the main school hallway need to be covered with colored paper and a border. The first board has a length of 15.5 feet and a width of 4.8 feet. The second board has a length of 12 feet and a width of 5.7 feet. How much more border does the first board need than the second board?

Answer 1

The first board needs 5.2 feet of border more than the second board

Explanation:

we know that

To find out how much more border does the first board need than the second board, subtract the perimeter of the second board from the perimeter of the first board

Remember that

The perimeter of a rectangle is equal to

`P=2(L+W)`

step 1

Find out the perimeter of the first board

we have

`L=15.5\ ft\\W=4.8\ ft`

substitute in the formula of perimeter

`P_1=2(15.5+4.8)`

`P_1=40.6\ ft`

step 2

Find out the perimeter of the first board

we have

`L=12\ ft\\W=5.7\ ft`

substitute in the formula of perimeter

`P_2=2(12+5.7)`

`P_2=35.4\ ft`

step 3

Find out the difference of perimeters

`40.6\ ft-35.4\ ft=5.2\ ft`

therefore

The first board need 5.2 feet of border more than the second board