The area of a rectangular wall of a barm is 140 Square feet. its length is 6 feet longer than twice its
width. Find the length and width of the wall of the barn.

length = 20 feet

width = 7 feet

Step-by-step explanation:

This problem can be solved using a system of equations. Using the given information, you can formulate 2 equations:

l*w = 140

l = 2w + 6

In order to solve this system of equations, you can use the Substitution Property of equality to substitute the l in the first equation for (2w + 6) in order to find the width:

where l*w = 140 and l = 2w + 6,

1. (2w + 6)*w = 140

2. 2w^2 + 6w = 140

3. w^2 + 3w = 70

4. w^2 + 3w - 70 = 0

5. (w - 7) (w + 10) = 0

6. w = 7, -10

1. Substitution

2. Simplification

3. Divide both sides by 2

4. Subtract 70 from both sides

5. Factor the left side (find 2 numbers that add to 3 and multiply to -70)

6. Solve for w

The width must be 7 because a width of -10 is impossible. Now, you just need to plug that into the equation to solve for l:

l*w = 140

7l = 140

l = 20

That means that the length is 20 and the width is 7.

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98