Inside of rectangle ABCD is a triangle AMN with M along BC and N along CD. Suppose BM = 6 cm, ND = 4 cm, and the area of AMN = 70 cm2. What is the area of the rectangle ABCD ?
In square ABCD, construct M along AB and N along BC. Then construct AN, DM, and CM. Let AN∩DM = P, AN∩CM = Q, and CM∩DM = R. If the area of PQRD = 1, what is the total area of APM + MQNB + NRC?
Suppose ABCD is an isosceles trapezoid with bases AB and CD and sides AD and BC such that |CD| > |AB|. Also suppose that |CD| = |AC| and that the altitude of the trapezoid is equal to |AB|
If |AB|/|CD| = a/b where a and b are positive coprime integers, then find a^b?
In quadrilateral ABCD, BC = CD. If ∠BAC = 3x, ∠BCA = x, ∠CAD = 5x, and ∠ACD = 3x, what is the value of x?
Quadrilateral ABCD has a 90 degree right angle at C and BC = CD = 10 miles. A car is traveling from A to C. If the car takes the path of AC then it takes 30 minutes. If the car takes the path of AB then BC it takes 35 minutes. If the car takes the path of AD and then DC it takes 40 minutes. The car always travels at a constant speed. What is the speed of the car?
Rectangle ABCD is made up of 5 equal rectangles, as shown. Point E is on side CD, and AD = 10. What is the area of triangle ABE?
