Monday

October 20, 2014

October 20, 2014

Posted by **Liz** on Sunday, September 7, 2008 at 3:57pm.

- Math -
**David Q**, Sunday, September 7, 2008 at 5:03pmFrom the description above, we know that:

(W+2) x L = 140

(L+1) x W = 120

where W = the width and L is the length, so...

WL + 2L = 140

WL + W = 120

Subtract the second equation from the first, you get...

2L - W = 20, so

W = 2L - 20.

So feed that back into the first of the original two equations:

(2L - 18) x L = 140

2Lē - 18L - 140 = 0

so Lē - 9L - 70 = 0

factorize it: (L - 14)(L + 5) = 0

so L = 14 or L = -5. The latter is impossible, so L = 14.

But W = 2L - 20, so W = 8.

Check it:

(W+2) x L = 10 x 14 = 140 Correct.

(L+1) x W = 15 x 8 = 120 Correct.

Answer: W = 8; L = 14.

**Answer this Question**

**Related Questions**

math - A rectangle is 4 inches wide by 7 inches long. When the length and width ...

math - If each edge of a cube is increased by 2 inches, the A. volume is ...

math - a square has a length of 5 inches. Then it is increased by 20%. Then the ...

How to find the enlarged area- Geometry - Reposting.. The original area is 10 ...

math - the dimensions of a rectangle are such that its length is 3 inches more ...

Algebra - The length of a rectangle is (x+2) inches. The width of the rectangle ...

Nassau - The length of the smaller rectangle at the right is 1 inch less than ...

algebra, HELP! - 9. The sides of a rectangle are increased by a scale factor of ...

Algebra 0110 College - 1) A rectangle has perimeter 38 feet and an area of 78 ...

alegbra1 - The length of a rectangle is twice the width. If the length is ...