Question

The width and length of the rectangular mirror are consequent numbers if measured in feet. The difference between square of these number is 05. Find the length and width of the mirror.

Answer 1

Answer:

width = 2

length = 3

Step-by-step explanation:

as the width and length are consequent number

let the width be x

let the length be x + 1

difference between the squares of the numbers is 5

${(x + 1)}^{2} - {x}^{2} = 5 \\ {x}^{2} + 2x + 1 - {x}^{2} = 5 \\ 2x + 1 = 5 \\ 2x = 5 - 1 \\ 2x = 4 \\ x = \frac{4}{2} = 2$

width = x = 2

length = x + 1 = 2 + 1 = 3

hope you get your answer

Answer 2

Answer:

width = 2

length = 3

Step-by-step explanation:

as the width and length are consequent number

let the width be x

let the length be x + 1

difference between the squares of the numbers is 5

\begin{gathered} {(x + 1)}^{2} - {x}^{2} = 5 \\ {x}^{2} + 2x + 1 - {x}^{2} = 5 \\ 2x + 1 = 5 \\ 2x = 5 - 1 \\ 2x = 4 \\ x = \frac{4}{2} = 2 \\ \end{gathered}

(x+1)

2

−x

2

=5

x

2

+2x+1−x

2

=5

2x+1=5

2x=5−1

2x=4

x=

2

4

=2

width = x = 2

length = x + 1 = 2 + 1 = 3

hope you get your answer