Question

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

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. ................ xD