Question

Distance between two houses is 40m. If a new house area \[4 \times 4\] is constructed in the middle of \[2\] houses, then find the distance between the middle house and one of the corner houses.
(A) \[20\;m\]
(B) \[19\;m\]
(C) \[18\;m\]
(D) \[17\;m\]

Answer 1

Hint: Take the middle house as the midpoint of both the houses and proceed further. Also take care that the distance between the middle house and corner house is needed, which is the distance of the wall of the corner house towards the center to the distance of the wall of the middle house towards the corner house.

Complete step-by-step answer:
Distance between two houses is \[40\;m\]. If a new house area is \[4 \times 4\] constructed in the middle of \[2\] houses.

As a given distance \[40\;m\]. C is the middle point of A and B then distance between C and B is \[\dfrac{{40}}{2} = 20\;m\] but the length of the house at point C is \[4\;m\]. So distance from point C to Dis \[2\;m\]. So distance from B to D= \[20 - 2 = 18\;m\] because we need to calculate the distance. Distance from corner hours to the edge of the middle house. Hence the distance between the middle house and one of the corner houses is \[18\;m\].

So, the correct answer is “Option C”.

Note: Please take care of the length and breadth dimensions of the house if they are not equal. Also take care that mid point is always equal from both the sides.