Question

rectangle will have length 3n+ 6 and height 2n−1 inches, while the square will have side length n+ 2inches. Find the perimeter and area of your creation. Give your answers in fully factored form and includeunits. As part of your solution, redraw the below picture labelling all the sides.

Answer 1

Perimeter: 2(3x+6)+ 2(2x-4)

X=9

Explanation:

In order to create the expression you just have to remember that the perimeter of a rectangle equals 2 bases plus 2 sides, so the expression would be:

Perimeter: 2(heights)+ 2(bases)

Perimeter: 2(3x+6)+ 2(2x-4)

IN order to solve for X we just have to insert the value of perimeter, which is 94:

Perimeter: 2(3x+6)+ 2(2x-4)

94=2(3x+6)+ 2(2x-4)

94= 6x+12+4x-8

94=10x+4

94-4=10x

x=90/10

x=9

So the value of x would be 9.