Me with this question.

michelle wishes to build a square pool in her backyard. she has saved enough to build a pool with the area of 150 square feet. what is the length of each side? (recall that the area of a square is i^2, where i is the length of a single side).

a) 11 feet.
b) more than 11 feet but less than 12 feet
c) 12 feet
d) more than 12 feet but less than 13 feet

show your work.

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

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step-by-step explanation:

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