Geometry
posted by Kaley .
The sides of a quadrilateral are 3, 4, 5, and 6. What is the length of the shortest side of a similar quadrilateral whose area is 9 times as great?

The area of similar figures is proportional to the square of their sides.
So let the shortest side of the second quad be x
x^2/3^2 = 9A/A
x^2/9 = 9/1
x^2 = 81
x = 9
Respond to this Question
Similar Questions

geometry
The sides of a quadrilateral are 3, 4, 5, and 6. Find the length of the shortest side of a similar quadrilateral whose area is 9 times as great. 
college math
1). Sum of three numbers is 45. One number is five more than the second number.It is also twice the third.Find the numbers. 2).Perimeter of quadrilateral is 52in. Longest side is is three times as long as the shortest side. The other … 
Geometry
The coordinates of the vertices of quadrilateral ABCD are A (8, 8), B (4, 8), C (4, 4), D (8, 4). The coordinates of the vertices of quadrilateral PQRS are P (10, 10), Q (2, 10), R (2, 2), S (10, 2). Which statement is correct? 
geometry
Quadrilateral ABCD is similar to quadrilateral WXYZ. Side BC is 8.6 units in length, side AD is 23.1 units, and side WZ measures 15.8 units. What is the measure of side XY? 
geometry
The sides of a quadrilateral are 3, 4, 5, and 6. Find the length of the shortest side of a similar quadrilateral whose area is 9 times as great. 
Geometry
The sides of a quadrilateral are 3, 4, 5, and 6. Find the length of the shortest side of a similar quadrilateral whose area is 9 times as great. A. 9 B. 13.5 C. 27 
Analytic Geometry
A square is a quadrilateral with four equal sides. The area of a square is equal to square of its sides. The diagonal of a square is a line segment joining any two nonconsecutive side. Find the area of a square and the length of its … 
math
the sides of a quadrilateral are in the ratio 1:3:5:7. if the perimeter of the quadrilateral is 64cm,what is the length of the second longest side/ 
easy geometry
1)If diagonals of a rhombus are 10 cm and 24 cm. find the area and perimeter of the rhombus. 2)A regular hexagon with a perimeter of 24 units is inscribed in a circle. Find the radius of the circle. 3)Find the altitude,perimeter and … 
Geometry
A quadrilateral contains two equal sides measuring 12 cm each with an included right angle. If the measure of the third side is 8 cm and the angle opposite the right angle is 120 degrees, find the fourth side and the area of the quadrilateral.