Question

The points O, P, Q and R all lie on the same line segment, in that order,

such that the ratio of OP : PQ: QRis equal to 3 : 6 : 2. 1f OR = 22,
find PR.

Answer 1

Explanation:

If the ratio of OP : PQ : QR is 3 : 6 : 2, we can represent these lengths as 3x, 6x, and 2x respectively, where x is a common factor. Given that OR = 22, we need to find the length of PR. To find PR, we need to find the sum of lengths OP, PQ, and QR: OP + PQ + QR = 3x + 6x + 2x Simplifying this expression, we get: 11x = 22 To find the value of x, we divide both sides of the equation by 11: x = 22 / 11 x = 2 Now that we know the value of x, we can find the length of PR: PR = PQ + QR = 6x + 2x = 8x Substituting the value of x, we get: PR = 8 * 2 PR = 16