Question

a rectangle is 3x feet long and 4feet wide.the value of the perimeter (in feet) is equal to the value of the area in square feet. find x

Answer 1

3 feet x 4 feet= 12 feet

Explanation:

Answer 2

x =
`(4)/(3)`

Explanation:

Rectangle:

Length = 3x feet

Width = 4 feet

Perimeter = 2*(length +width)

= 2* (3x + 4)

= 2*3x + 2*4

= 6x + 8

Area = length * width

= 3x * 4

= 12x

Area of rectangle = perimeter of rectangle

12x = 6x + 8 {Subtract 6x form both sides}

12x - 6x = 8

6x = 8 {Divide both sides by 6}

x = 8/6

x =
`(4)/(3)` feet