Question

Please please please help me with this answer

A piece of cardboard is 10 centimeters longer than it is tall. The area of the piece of cardboard is 24 square centimeters. How many centimeters tall is the piece of cardboard?

Answer 1

check the picture below.

it cannot be -12, because is a length unit.

Answer 2

If x = height and y = base, Area = x * y

y = x + 10

x * (x + 10) = Area

x^2 + 10x = 24

x^2 + 10x - 24 = 0

(x + 12)(x - 2) = 0

x = -12 (impossible, a measurement of width/length cannot be negative, so we cancel this solution out) or x = 2.

The answer is 2cm.