Question

HELP WITH MATH PLEASE

1. The formula A = L x W gives the area of a rectangle R. The area of a rectangular garden is 5000sqm.
What is the garden's length in terms of width?


2. The formula for the area of a triangle is A = ½ bh, where b is the length of the base, and h is the height. Solve for b


3. The formula for an object’s final velocity is f = i – gt, where i is the object’s initial velocity,
g is acceleration due to gravity, and t is time. Solve for t.


4. Make your own question and solve it for your chosen variable:

Answer 1

1. Length in terms of width is 5000/W meters

2. Solving for b gives us:
`b = (2A)/(h)`

3. Solving for t gives us:
`t = (i-f)/(g)`

4. Solving for P gives us:

`W = (P)/(2) - L`

Explanation:

1. The formula A = L x W gives the area of a rectangle R. The area of a rectangular garden is 5000sqm. What is the garden's length in terms of width?

Given that

`A= L*W`

Also given that A = 5000 square meters.

Now,

`5000 = L * W`

Dividing both sides by W

`(L*W)/(W) = (5000)/(W)\\L = (5000)/(W)`

So,

Length in terms of width is 5000/W meters

2. The formula for the area of a triangle is A = ½ bh, where b is the length of the base, and h is the height. Solve for b

The given formula is:

`A = (1)/(2)bh`

Solving it for b means that the we have to isolate b

So,

`A = (1)/(2)bh\\2A = 2. (1)/(2)bh\\2A = bh\\(2A)/(h) = (bh)/(h)\\b = (2A)/(h)`

Solving for b gives us:
`b = (2A)/(h)`

3. The formula for an object’s final velocity is f = i – gt, where i is the object’s initial velocity, g is acceleration due to gravity, and t is time. Solve for t.

Given

`f = i-gt\\Now\\f+gt = i\\gt = i-f\\(gt)/(g) = (i-f)/(t)\\t = (i-f)/(t)`

Solving for t gives us:
`t = (i-f)/(g)`

4. Own Question: The perimeter of a rectangle is given by P = 2(L+W). Solve for width.

`P = 2(L+W)\\(P)/(2) = (2(L+W))/(2)\\(P)/(2) = L+W\\(P)/(2) - L = W`

Solving for P gives us:

`W = (P)/(2) - L`