in a square pqrs, PQ=(5a-17)cm and QR(2a+4) cm then find ps
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Given,
In a square PQRS;
PQ=(5a-17) cm
QR=(2a+4) cm
To find,
The length of side PS.
Solution,
We can simply solve this mathematical problem using the following process:
As per mensuration,
All the sides of any square are equal in length.
Now, in the square PQRS;
Side PQ = side QR = side RS = side PS = (5a-17) cm = (2a+4) cm {Equation-1}
=> (5a-17) cm = (2a+4) cm
=> 3a = 21
=> a = 7
Substituting the value of a in equation-1, we get
Side PQ = side QR = side RS = side PS
= (2a+4) cm
= 2(7) + 4 cm
= 18 centimeters = 18 cm
Hence, the length of side PS is equal to 18 centimeters.
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Step-by-step explanation:
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