In rectangle PQRS, the value of PQ = 24, if the value of SP = 7 and the value of PR = 25.
Step-by-step explanation:
The given is,
Rectangle PQRS,
SP = 7
PR = 25
Step:1
Formula for calculation of diagonal of rectangle is,
[tex]d^{2} = w^{2} +l^{2}[/tex].....................(1)
Where, d - Diagonal of rectangle
w - Width of the rectangle
l - Length of the rectangle
From the given value,
Ref the attachment.
PR = d = 25
SP = w = 7
Let, x - Length of rectangle
PQ = l = x
Equation (1) becomes,
[tex]25^{2} = 7^{2} + x^{2}[/tex]
[tex]x^{2} = 25^{2} -7^{2}[/tex]
[tex]x^{2} = 625-49[/tex]
[tex]x^{2} = 576[/tex]
Take square root on both side,
[tex]x =\sqrt{576}[/tex]
= 24
x = 24
PQ = x = 24
Result:
In rectangle PQRS, the value of PQ = 24, if the value of SP = 7 and the value of PR = 25.
