Mathematics: In rectangle PQRS, SP = 7 and PR = 25. what is PQ?

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In rectangle PQRS, SP = 7 and PR = 25. what is PQ?

richardcarmona54

23.01.2022

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,

$d^{2} = w^{2} +l^{2}$ .....................(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,

$25^{2} = 7^{2} + x^{2}$

$x^{2} = 25^{2} -7^{2}$

$x^{2} = 625-49$

$x^{2} = 576$

Take square root on both side,

$x =\sqrt{576}$

= 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.

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