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ehidna [41]
3 years ago
9

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

Mathematics
1 answer:
TiliK225 [7]3 years ago
3 0

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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