Algebra
posted by Anthony .
Rectangle ABCD has an area of 72 units squared. The length of BF is 4 units. Algebracially prove that the sum of the areas of triangles CBF and ADF are equal to 36 units squared.

Where is F ?

BF is between BA

BA is shorter side of rectangle

Hi  Do you think this is correct?
BC = AD
Area of Rectangle = (FB+AF).BC
Area of Rectangle = 72 units squared
Area = 1/2 bh
Area 1 = 1/2 FB.BC
Area 2 = 1/2 AF.AD
1/2 = AF.BC
A1 + A2 = 36 units squared
1/2 FB.BC + 1/2 AF.BC
1/2 [FB.BC + AF.BC]
1/2 [BC (FB + AF)
1/2.72 units squared  36 units squared
Respond to this Question
Similar Questions

math
The area of the region bounded by the lines x=1 and y=0 and the curve y= xe^x^2 is: A. 1e units squared B. e1 units squared C. (e1)/2 units squared D. (1e)/2 units squared or E. e/2 units squared if you can show me how to get … 
MATH
What is the area of the region bounded by the lines x=1 and y=0 and the curve y= xe^x^2? 
MATH
What is the area of the region bounded by the lines x=1 and y=0 and the curve y= x(e^x^2)? 
calculus
What is the area of the region bounded by the lines x=1 and y=0 and the curve y= x(e^x^2)? 
Math
Point X is on side BC of rectangle ABCD. If AX = 5 units, XD = 12 units, and AD = 13 units, find the area of ABCD. 
geometry
Prove that if the area of a rectangular patio abcd is 25sq units and one lengths is 5 units then abcd is a square 
Math
Rectangles ABCD and EFGH are similar figures because angles A, B, C, and D are congruent to angles E, F, G, and H, respectively. If DA equals 19 units, AB equals 8 units, and HE equals 133 units, what does EF equal? 
math
. A rectangle has a perimeter of 24 units. If the width is 4 units, which of the following is the length? 
Algebra
The length of a side of a rectangle is 2 units less than a number, and the width is 4 units more than the length. Which of the following expressions represents the area of the rectangle, in square units? 
GEOMETRY
4. Find the area of the irregular figure. It looks like it can be divided into 4 shapes. A rectangle,2 triangles, and a square. It is labeled with the numbers 4,16,25,10, and 15. My answer choices are: 432 units squared 438 units squared …