Carmen is dividing her rectangular garden with a diagonal fence. The length of the garden is 11 feet and the diagonal is 19 feet. Which equation can be used to find the width of the garden? How wide is the garden? Select two answers.

A.11^2+w^2=19^2
B.19−11=w
C.width = 8 feet
D.width = 15.5 feet

3 answers

clearly A, from the Pythagorean Theorem.
Now just solve for w.
Clearly the first

A.11^2+w^2=19^2

Reason be is that with the diagonal crossing the rectangular garden

It immediately forms a right angle triangle

Which give rises to the Pythagoras theorem

11²+w²=19²

W²=19²-11²

W=√(19²-11²)
A and D I did the math 11 squared is 121 and 19 squared is 361 so I subtracted 121 from 361 and got 240 and 15.5 times 15.5 equals 240 so it's 15.5 hope this helps