Use the image to answer the question.
An illustration shows a quadrilateral upper A upper B upper C upper D formed by joining four points. Side upper A upper B is labeled as 3 x and side upper A upper D is labelled as 7 x.
Find the shorter side of the kite shown, which has a perimeter of 60 feet.
(1 point)
Responses
3 feet
3 feet
21 feet
21 feet
18 feet
18 feet
9 feet
9 feet
To find the perimeter of the kite, we add up the lengths of all four sides of the quadrilateral.
Given:
Side AB = 3x = 3(3) = 9x
Side AD = 7x = 7(3) = 21x
Since the perimeter is 60 feet:
9x + 21x + BC + CD = 60
30x + BC + CD = 60
BC + CD = 60 - 30x
To find the shortest side, we need to determine BC and CD. Since BC and CD are opposite sides of a quadrilateral, they are equal in length. Therefore, we can consider BC or CD to be the shorter side.
Based on the information provided, we cannot determine the exact lengths of BC and CD, so we cannot determine the shorter side of the kite.