The area of triangle is 55 square centimeters.
<h3>What is area?</h3>
Area is the amount of space occupied by a two-dimensional figure.
<h3>What is the formula for the area of triangle?</h3>
The formula for the area of triangle is
According to the given question.
We have a figure of a quadrilateral which is made up of four right angled tringles.
Now,
The area of a triangle with base 5cm and height 7 cm
=
square centimeters
And, the area of triangle with base 4cm and height 5cm
=
square centimeters
Since, the quadrilateral is made up of 2 right angled triangle with base 5cm and height 7cm and 2 right angled triangle with base 4cm and height 5cm.
Therefore, the area of quadrilateral or the given fiure
= 2( area of triangle with height 7cm and base 5cm + area of triangle with base 4cm and height 5cm )
= 2(17.5 + 10) square centimeter
= 2 × 27.5
= 55 square centimeters
Hence, the area of triangle is 55 square centimeters.
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