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Brut [27]
3 years ago
6

a rectangle is 28 feet by 41 feet. If it can be determined, which of the following gives the whole number length, in feet, of a

side of the largest square that will fit inside the rectangle?

Mathematics
1 answer:
rjkz [21]3 years ago
5 0

Answer:

c = 20 ft  

Step-by-step explanation:

The largest square will be 14 sqrt(2) ft long


To figure out the side length of the square

use the pythagorean theorem

a^2 + b^2 =c^2

we are limited by the shortest side of the rectangle

28 ft

each side of the triangle is 1/2 the length of the short side of the rectangle or 14 ft

a^2 + b^2 =c^2

14^2 + 14^2 = c^2  where c is the side of the square

196 + 196 = c^2

392 = c^2

take the square root of each side

sqrt(392) = sqrt(c^2)

c = 14sqrt(2)

c = 19.799ft

to the nearest whole number

c = 20 ft  


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3x + 1 < −2x + 8
Fantom [35]

Hello there!


The correct answer is B. Why? Well, we cannot choose A, because we don't have a multiplication sign. We cannot choose C because we also don't have a multiplication sign. However, since we have a PLUS sign and a Subtraction sign, we can say that the correct answer is option B.


3x + 1 < -2x + 8

We wanna start by subtracting 1 on both sides

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I hope this answer helps! As always, it is my pleasure to help students like you. If you have any additional questions, feel free to comment them down below. I'll see you around!

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