# word problems

how do you solve these using polynomial equations???

the altitude of a triangle is 5m less than half its base. if the area of the triangle is 300m, find the measure of the base.

the sum of the squares of two consecutive negative integers is 61. find the smaller of the two intergers.

the number of team shirts that eric purchased was 10 more than twice the value of each in dollars. the total cost of the order was \$2100. how many shirts were bought and what was their price/??

1. 👍 0
2. 👎 0
3. 👁 33
asked by Amanda
1. In the first one, call the base b
then the altitude is (b/2) - 5
you know the area of a triangle so write it out and call it equal to 300

In the second one call the first one n and call the second one (n+1)
then write n^2 + (n+1)^2 = 61
and proceed from there

I think once you have done the first two you will see how to do the third.

1. 👍 0
2. 👎 0
posted by Damon

## Similar Questions

1. ### math

Base of a triangle is 12 inches longer than twice the length of altitude x. Write polynomial area of triangle.

asked by Alice on November 11, 2011
2. ### CAL

The altitude of a triangle is increasing at a rate of 2500 centimeters/minute while the area of the triangle is increasing at a rate of 4000 square centimeters/minute. At what rate is the base of the triangle changing when the

asked by lan on July 10, 2011
3. ### Math

The altitude of a triangle is increasing at a rate of 2500 centimeters/minute while the area of the triangle is increasing at a rate of 4500 square centimeters/minute. At what rate is the base of the triangle changing when the

asked by Ning on August 23, 2011
4. ### CAL

The altitude of a triangle is increasing at a rate of 2500 centimeters/minute while the area of the triangle is increasing at a rate of 4000 square centimeters/minute. At what rate is the base of the triangle changing when the

asked by Laura Le on July 9, 2011
5. ### Calculus Please help!

The altitude of a triangle is increasing at a rate of 2500 centimeters/minute while the area of the triangle is increasing at a rate of 3500 square centimeters/minute. At what rate is the base of the triangle changing when the

asked by ALI on February 28, 2014
6. ### calculus

The altitude of a triangle is increasing at a rate of 3.000 centimeters/minute while the area of the triangle is increasing at a rate of 2.500 square centimeters/minute. At what rate is the base of the triangle changing when the

asked by remy on May 14, 2012
7. ### math

The base of triangle ABC is one half the altitude. The altitude of triangle DEF is one half its base. If both triangles are equal in area, what is the ratio of the altitude of triangle ABC to the altitude of triangle DEF? a. 1:4

asked by thomas on April 24, 2014
8. ### math

The base of triangle ABC is one half the altitude.The altitude of triangle DEF is one half its base. If both triangles are equal in area, what is the ratio of the altitude of triangle ABC to the altitude of triangle DEF ? a. 1:4

asked by thomas on April 19, 2014
9. ### math

triangle ABC has vertices A(3,4), B(4,-3) and C(-4,-1). a. draw a sketch of the triangle b. draw the altitude from vertex A c. find the slope of side BC which is =-1/4 d. find the slope of the altitude from A which is 4 e. find

asked by Ted on October 27, 2010
10. ### Geometry Honors

Can someone help me with Always, Sometimes, Never questions?? I have answered all of these, but I am not sure if they are right. 1. The base angle of an isosceles triangle are acute----Always 2. When the altitude and the median

asked by Melissa on May 28, 2013

More Similar Questions