The diagonal of a rectangle is of length a It splits each co

The diagonal of a rectangle is of length a. It splits each corner forming two angles with a ratio of 1:2. The area of the rectangle is: Select one: O a. 1/2 a 2 b. 1/4 a42 c. 2a 2

Solution

when the diagonal cuts the rectangle

triangle formed has ratio of 30 : 60 : 90

so , sides have the ratio

1 : sqrt 3 : 2

therefore, area = a/2 * asqrt 3 /2

area = a^2 sqrt 3 / 4

option e is correct