Question

In Parallelogram PSRQ. Side PS=-1+4x and side RQ =3x+3, then how long is side RQ?

Answer 1

By setting the expressions for the lengths of opposite sides PS and RQ in parallelogram PSRQ equal to each other and solving for x, we find that the length of side RQ is 15 units.

Step-by-step explanation:

In a parallelogram, opposite sides are equal in length. Given the sides of parallelogram PSRQ, PS and RQ, where PS = -1 + 4x and RQ = 3x + 3, we can set these expressions equal to each other because they represent the lengths of opposite sides.

We then solve for x:

• -1 + 4x = 3x + 3

Add 1 to both sides:

• 4x = 3x + 4

Subtract 3x from both sides:

• x = 4

Now that we have the value of x, we can find the length of side RQ:

• RQ = 3(4) + 3 = 12 + 3 = 15

Thus, the length of side RQ is 15 units.