A rectangular field has corners A(0, 0), B(21, 0), C(21, 9) and D(0, 9), measured in metres. A drainage pipe is laid along the diagonal AC, and an inspection chamber is built at the point dividing AC in the ratio 1 : 2 from A. Where is the chamber?

Question

Accepted Answer

(7, 3). x = 1 · 21 + 2 · 0/3 = 7 and y = 1 · 9 + 2 · 0/3 = 3, so the chamber is at (7, 3). (14, 6) uses the ratio 2 : 1 and therefore measures from C; (10.5, 4.5) is the centre of the field, i.e. the midpoint of AC, which ignores the 1 : 2 split; (7, 6) keeps the correct x but applies the 2 : 1 weighting to y.

A rectangular field has corners A(0, 0), B(21, 0), C(21, 9) and D(0, 9), measured in metres.
A drainage pipe is laid along the diagonal AC, and an inspection chamber is built at the point dividing AC in the ratio 1 : 2 from A.
Where is the chamber?

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More Class 10 Section Formula practice

A rectangular field has corners A(0, 0), B(21, 0), C(21, 9) and D(0, 9), measured in metres.A drainage pipe is laid along the diagonal AC, and an inspection chamber is built at the point dividing AC in the ratio 1 : 2 from A.Where is the chamber?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Section Formula practice

A rectangular field has corners A(0, 0), B(21, 0), C(21, 9) and D(0, 9), measured in metres.
A drainage pipe is laid along the diagonal AC, and an inspection chamber is built at the point dividing AC in the ratio 1 : 2 from A.
Where is the chamber?