The perimeter of the aqua rectangle is 72 feet. What is the measure of the rectangle’s longest side?
1 answer:
You might be interested in
Answer:
The length of the mat is 30 inches.
Step-by-step explanation:
Let H be the hypotenuse of the incline mat, L its length and h its height.
It is given that H = L + 4 and h = L - 14. Now, using Pythagoras' theorem for right-angled triangles, H² = L² + h²
(L + 4)² = L² + (L - 14)²
Expanding, we have
L² + 8L + 16 = L² + L² -28L + 196
collecting all the terms to the right side, we have
L² + L² -28L + 196 - L² - 8L - 16 = 0
L² - 36L + 180 = 0
Using the quadratic formula, L =
L
We use the larger answer L = 30 inches since L = 6 would give h = L -14 = 6 - 14 = -8 .
So, the length of the mat is 30 inches.
Answer:
Hari is 20; Harry is 28
Step-by-step explanation:
The ratio in 4 years is equivalent to the ratio 6:8, which has each of the original ratio unit numbers increased by 1. That means each of those ratio units stands for 4 years, and the present ages are ...
Hari: 5·4 = 20
Harry: 7·4 = 28
_____
<em>Conventional method of solution</em>
If you like, you can write equations for the ages of Hari (x) and Harry (y):
x/y = 5/7
(x+4)/(y+4) = 3/4
These can be solved a variety of ways. For some methods, it may be useful to write them in standard form:
- 7x -5y = 0
- 4x -3y = -4
These have solution (x, y) = (20, 28).
