What is the area of coloured square।
Answers
Answer:
90 sq. unit.
Step-by-step explanation:
First let us find area of big square of side ( 10 + 5 ) units = 15 unit.
Area of big square = 15² = 225 sq. unit.
Now finding area of big triangle of base 5 unit and height ( 5 + 10 ) = 15 unit.
Area of big triangle = 1 / 2 × 5 × 15 = 75 / 2 sq. unit.
Since there are 4 triangle :
Area of 4 big triangle = 4 × 75 / 2 = 150 sq. unit.
On subtracting area of big square to with area of big triangle we will not get correct answer.
We need to find area of 4 small triangle.
We will find area of 4 small triangle and subtract it from area of 4 big triangle.
After we will subtracting area of big square to with area of big triangle.
Now finding area of 4 small triangle!
The height of a right triangle of perpendicular sides p and q and
hypotenuse x , which is perpendicular to y , is,
x = p q / y :
x = 1.5 unit
Area of small triangle = 4 × 1 / 2 × 1.5 × 5 sq. unit
Area of 4 small triangle = 15 sq. unit.
Now :
= > Area of 4 big triangle - Area of 4 small triangle
= > 150 - 15 = 135 sq. unit.
Finally :
Required answer = Area of big square - 135 sq. unit.
= > Area of coloured square = 225 - 135 sq. unit
= > Area of coloured square = 90 sq. unit.
Therefore , we get required answer.
