Given:
- the perimeter of a rectangular field is 84 yards
- the ratio of the length to the width is 2:1
To find:
- the length
- the width
- the area
Answer:
Let's assume that the length is 2x and the width is 1x.
We know that the formula to find the perimeter of a rectangle is as follows:
Perimeter = 2 × (Length + Width)
Substituting the values that we have, into the formula above,
84 = 2 × (2x + 1x)
84 = 2 × 3x
84/2 = 3x
42 = 3x
x = 42/3
x = 14
Since we know the value of 'x', let's use it to find the length and the width.
Length = 2x = 2 × 14 = 28
Width = 1x = 1 × 14 = 14
Since we now know the length and the width, let's find the area of the rectangle.
The formula to find the area of a rectangle:
Area = Length × Width
Substituting the values we have into the formula,
Area = 28 × 14
Area = 392
Therefore, the area of the rectangle is 392 square yards.
Hope it helps. :)
The first one is 4, and the second one is 3.7
40/28=10/x
Butterfly method
40x=280
/40 /40
x=7
EG is 7
Answer:
<em>Her annual salary is $62,400</em>
Step-by-step explanation:
Michelle Hong noticed that her gross pay per period increased by 2,800 when her employer changed from a bi weekly pay plan to a monthly pay plan.
Bi weekly is a check every 2 weeks, so she would get 26 checks per year.
Monthly would be 12 checks per year.
When she gets paid monthly her pay increased by $2,800 each check.
Let x be one bi-weekly paycheck.
The equation we get is:
12(x+2800) = 26x
Multiply the bracket by 12:
12x +33600 = 26x
Subtract 12x from both sides
33600 = 14x
Divide both sides by 14:
x = 33600/14
<em>x = 2400</em>
Her pay increased by 2800 each period:
2400 + 2800 = 5200 per check.
5200 x 12 months = 62400
<em>Her annual salary is $62,400</em>
