# Algebra

posted by .

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.

• Algebra -

Where is F ?

• Algebra -

BF is between BA

• Algebra -

BA is shorter side of rectangle

• Algebra - REINY -

Hi - Do you think this is correct?

Area of Rectangle = (FB+AF).BC
Area of Rectangle = 72 units squared

Area = 1/2 bh
Area 1 = 1/2 FB.BC
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

## Similar Questions

1. ### math

The area of the region bounded by the lines x=1 and y=0 and the curve y= x-e^x^2 is: A. 1-e units squared B. e-1 units squared C. (e-1)/2 units squared D. (1-e)/2 units squared or E. e/2 units squared if you can show me how to get …
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?
3. ### 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)?
4. ### 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)?
5. ### 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.
6. ### 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
7. ### 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?
8. ### math

. A rectangle has a perimeter of 24 units. If the width is 4 units, which of the following is the length?
9. ### 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?
10. ### 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 …

More Similar Questions