Question

the width and length of rectangular mirror are consequent no, it measured in feet. the difference between squares of these no.is 5 . find the length and width of 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

\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.............................xD........