Posted by **karan** on Wednesday, June 22, 2011 at 9:58am.

the sides of a quadrilateral abcd are 6cm,8cm,11cm and 12cm respectively,and the angle between the first two sides is a right angle.find its area.

- geometry -
**Reiny**, Wednesday, June 22, 2011 at 12:47pm
draw the diagonal to show the right-angled triangle,

the hypotenuse of that using Pythagoras is 10

so the area of the right_angled triangle is

(1/2)(6)(8) = 24

for the other triangle with sides, 10, 11, and 12

use Heron's formula

Area = √(s(s-a)(s-b)(s-c))

where s = (1/2)(perimeter) = 16.5

s-a = 16.5-10 = 6.5

s-b = 16.5 - 11 = 5.5

s-c = 16.5 - 12 = 4.5

Area = √(16.5*6.5*5.5*4.5) = 51.92

total area = 24+51.92 = 75.52

check my arithmetic

- geometry -
**feba**, Tuesday, February 5, 2013 at 8:28pm
ABCD is a square and arc BEC is a semicircle. if AB=10.0 cm,find the area of the area of the figure.

## Answer this Question

## Related Questions

- geometry - solution of the questions The sides of a quadrilateral ABCD are 6 cm...
- math - solution of the questions The sides of a quadrilateral ABCD are 6 cm, 8 ...
- Geometry - Given quadrilateral ABCD,ABllDC, diagonal AC. we can prove that angle...
- Geometry - Given quadrilateral ABCD,ABllDC, diagonal AC. we can prove that angle...
- Geometry - A quadrilateral contains two equal sides measuring 12 cm each with an...
- Math - A quadrilateral contains two equal sides measuring 12 cm each with an ...
- geometry - Fin the volume of a triangular prism with height 16cm, base (a right ...
- 6th grade - tHE AREA OF A RECTANGLE IS 24CM2 IF THE LENGTH OF THE SIDES ARE ...
- math - find the area of kite whose unequal sides are 15 cm and 20 cm ...
- Geometry - I have four questions: 1. The area of trapezoid ABCD is 60. One base ...