Question

What is the answer for this problem I need help!

Answer 1

Answer:

x = 6 cm

Step-by-step explanation:

We can write equations for length and width using the information given:

length = 2 + x

width = 2x - 5

Area = (length)(width) = 56

Area = (2 + x)(2x - 5) = 4x - 10 + 2x² - 5x

Simplifying:

Area = 2x² - x - 10 = 56

2x² - x - 66 = 0

Factoring:

(2x + 11)(x - 6) = 0

x = 6, -11/2

We choose the positive number: x = 6 cm

To check, plug in 6 for x:

Area = (2 + x)(2x - 5) = 56

(2 + 6)(12 - 5) = 56

(8 × 7) = 56

56 = 56