Question

@mathstudent55
Please help.

Answer 1

In order to answer this question, we need to see if the two triangles (the gardens) are congruent. In each triangle, we have a 60-ft side. Then, to the left of each 60-ft side there is an angle. The figure shows the angles to the left are congruent. To the right of the 60-ft side, there is a right angle. All right angles are congruent, so by ASA, the two triangles are congruent.

Answer 2

Now that we know the two triangles are congruent, we can use the info form the two triangles interchangeably.

Answer 3

Would it be x over 30
x
---- ?
30

Answer 4

The formula for the area of a triangle is
\(A = \dfrac{1}{2}bh\)
We can use the 60-ft side as the base (b), and the side of length x as the height (h). The area (A) is 300 sq ft.

Answer 5

\(A = \dfrac{1}{2} bh\)

\(300 = \dfrac{1}{2} \times 60x\)

\(300 = 30x\)

\(30 x = 300\)

\(x = \dfrac{300}{30} \)

\(x = 10\)

Answer 6

Sorry, gtg.

Answer 7

Thank you ! :D

Answer 8

You're welcome.