The new area is 168 square inches how many inches increase, Mathematics

A 4-inch by 6-inch photograph is going to be enlarged through increasing each side by the similar amount. The new area is 168 square inches. How many inches is each dimension increased?

Let x = the amount each side is increased. Then, x + 4 = the new width and x + 6 = the new length. Because area is length times width, the formula using the latest area is (x + 4)(x + 6) = 168. Multiply using the distributive property on the left side of the equation: x2 + 6x + 4x + 24 = 168; combine such terms: x2 + 10x + 24 = 168. Subtract 168 from both sides: x2 + 10x + 24 - 168 = 168 - 168. Simplify: x2 + 10x - 144 = 0. Factor the trinomial: (x - 8)(x + 18) = 0. Set each factor equal to zero and solve: x - 8 = 0 or x + 18 = 0; x = 8 or x = -18. Reject the negative solution since you won't have a negative dimension. The correct solution is 8 inches.

 

Posted Date: 5/21/2013 3:29:42 AM | Location : United States







Related Discussions:- The new area is 168 square inches how many inches increase, Assignment Help, Ask Question on The new area is 168 square inches how many inches increase, Get Answer, Expert's Help, The new area is 168 square inches how many inches increase Discussions

Write discussion on The new area is 168 square inches how many inches increase
Your posts are moderated
Related Questions
"Inside function" and "outside function : Generally we don't actually do all the composition stuff in using the Chain Rule. That can get little complexes and actually obscures the


The following table given the these scores and sales be nine salesman during last one year in a certain firm: text scores sales (in 000''rupees) 14 31 19

Give the Proofs in Mathematics ? 1 Two-column deductive proof Proof: Statements                                                              Reasons * Start with given c

Hanna's sales target for the week is $5,000. So far she has sold $3,574.38 worth of merchandise. How much more does she required to sell to meet her goal? You must ?nd out the

For the pair of supply-and-demand equations, where x represents the quantity demanded in units of 1000 and p is the unit price in dollars, find the equilibrium quantity and the equ



Keith wants to know the surface area of a basketball. Which formula will he use? The surface area of a sphere is four times π times the radius squared.

6987+746-212*7665