Question

a flat rectangular piece of aluminum has a perimeter of 58 inches. the length is 7 inches longer than the width. find the width.

Answer 1

say length = l, width = w

Answer 2

do u remember the formula for 'perimeter of rectangle' ?

Answer 3

P=2L+2W

Answer 4

yes !

2L+2W = 58 -------------(1)

Answer 5

let x+7 = length
let x = width
add x+x+(x+7) + (x+7)
=4x +14 =?

Answer 6

it is given that
length is 7 inches longer than the width.

L = W + 7 -----------(2)

Answer 7

two equation, two unknowns, you can solve them

Answer 8

2(x+7) + 2(x) =58

solve for x

Answer 9

x=11

Answer 10

?

Answer 11

Hint: x = side length

Answer 12

im getting 11 for x

Answer 13

11*4 = 44
44 + 14 = 58

Answer 14

If you wanted to use x for length then you would represent "x-7 for the side, it can be done either way

Answer 15

got it! thank you!