Four equilateral triangles are described on the four sides of a rectangle with perimeter 12 cm. If the sum of the area of four triangles is 10 cm2 ,what is the area of the rectangle? |
|||||||
(a) |
5cm2 |
(b) |
8 cm2 |
(c) |
9 cm2 |
(d) |
6.75 cm2 |
Four equilateral triangles are described on the four sides of a rectangle with perimeter 12 cm. If the sum of the area of four triangles is 10 cm2 ,what is the area of the rectangle? |
|||||||
(a) |
5cm2 |
(b) |
8 cm2 |
(c) |
9 cm2 |
(d) |
6.75 cm2 |
Length = breadth =
Then,
Sum of areas of the four triangles
=
Therefore,
Length = 4 cm, breadth = 2 cm.
Area of rectangle = 8 sq. cm.