If the length of a rectangle is five more than three times a number and the width is 3 less than twice the number, find the area

length-of-rectangle

#1

If the length of a rectangle is five more than three times a number and the width is 3 less than twice the number, find the area.

Explain your reasoning.

Answer:

image

set x as "a number"
so length = 3 times x and 5 more (plus 5) = 3x+5
width = 2 times x and 3 less= 2x-3
the area is length times width
so area = (3x+5)(2x-3) = 6x^2 -9x +10x -15 = 6x^2+x-15