math
posted by sharmila .
an architect wants to draw a rectangle with a diagonal of 13 inches.the length of the rectangle is to be 2 inches more thn twice the width.what dimensions should she make the triangle.
(a)set up an equation:
(b)solve the equation:
(c)write a sentence that answers the quation:

Dia. = 13 In. = Hyp. of rt triangle.
Width=x In.=Ver. side of a rt triangle
Length = 2x+2 In. = Hor. side of rt triangle.
a. (2x+2)^2 + x^2 = 13^2.
b. 4x^2+8x+4 + x^2 = 169
5x^2 + 8x 165 = 0
Use Quadratic Formula:
X = 5 In.
X = 6.6 Not valid.
2x+2 = 2*5 + 2 = 12 In.
Respond to this Question
Similar Questions

math ,correction
Directions: Solve each of the following problems. Be sure to show the equation used for the solution. The length of a rectangle is 2in. more than twice its width. If the perimeter of the rectangle is 34 in., find the dimensions of … 
algebra1
The length of a rectangle is twice the width. If the length is increased by 4 inches and the width is decreased by 1 inch, a new rectangle is formed whose perimeter is 198 inches. Find the dimensions of the original rectangle. 
Math
Soybean meal is 18% protein; cornmeal is 9% protein. how many pounds of each should be mixed together in order to get 360lb mixture that is 11% protein? 
math
The length of a rectangle is 2 inches more than twice its width. If the perimeter of the rectangle is 34 inches, find the dimensions of the rectangle 
math
Suppose that the width of a rectangle is 5 inches shorter than the length and that the perimeter of the rectangle is 50 inches. The formula for the perimeter of a rectangle is P=2L+2W. a) Set up an equation for the perimeter involving … 
math
The width of a rectangle is x inches long. The length of that rectangle is 5 inches less than Twice the width. If the perimeter measures 26 inches, what is the measure of the length and width of the rectangle. 
Algebra Homework, HELP!
1) A rectangle has an area of 297 square inches and a width which is three inches less than four times the length. Find the length and the width of the rectangle. 2) Let x represent the length of the shorter leg in a right triangle. … 
algebra
The length of a rectangle is 3 more than twice the width. The area of the rectangle is 119 square inches. What are the dimensions of the rectangle? 
algebra
The length of a rectangle is twice the width. If the length is increased by 4 inches and the width is diminished by 1 inch, a new rectangle is formed whose perimeter is 198 inches. Fine the dimensions of the original rectangle. 
Algebra
Suppose you want to draw a rectangle where the width is 7 inches less than the length and the diagonal is 7 inches longer than the length. What are the dimensions of the rectangle?