Question

A right triangular lawn, ABC, is surrounded on three sides by square shaped reading halls of a library X, Y, and Z, as shown below.



If the area of hall X is 49 square meters and the area of hall Z is 576 square meters, what is the area of hall Y?

527 square meters

325 square meters

625 square meters

289 square meters

Answer 1

a^2 + b^2 = c^2
49 + 576 = 625

Answer 2

By Pythagoras' theorem, \[a^2 + b^2 = c^2\] in a right triangle.
In this case, the area of hall x would be a^2, and the area of hall y would be b^2 (because they're squares).
Substitute them into Pythagoras' theorem, we have 49 + 576 = c^2
Do the math, and you should get 25.

Answer 3

thank you

Answer 4

then what do i do

Answer 5

@tyteen4a03

Answer 6

@hba

Answer 7

@ParthKohli

Answer 8

Oh sorry, it asked for the area. Since we just got 25 (the length of a side in hall Y), do \[25^2\] and you have the answer.

Answer 9

which would be 625?