## 6. The area of a rectangular sheet of paper is 300 cm squared. The length is 5 cm more than the width a) If the width of the rectangle

Question

6. The area of a rectangular sheet of paper is 300 cm squared. The length is 5 cm more than the width
a) If the width of the rectangle is x cm, state an expression for the length of the rectangle.
b) Write and algebraically solve a quadratic equation to determine the length and
width of the rectangle.

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2 weeks 2021-07-19T06:27:55+00:00 2 Answers 1 views 0

## Answers ( )

1. Answer:

Step-by-step explanation:

width = x

length= x + 5

a)  x + 5

b) x * (x+5) = 300

x^2 + 5x = 300

x^2 + 5x – 300 = 0

Δ = 25 + 1200 = 1225

width = (-5 + 35)/2 = 15 cm

lenght = 15 + 5 = 20 cm

2. Answer:

a) length = x + 5

b) + 5x – 300 = 0

Step-by-step explanation:

x = width

x + 5 = length

(x)(x + 5) = 300

+ 5x = 300

+ 5x – 300 = 0

(x+20)(x-15)

x = -20 or x = 15  ( disregard the -20. measurements can’t be negative)

width = 15

length = x+ 5 =  15+5 = 20