ncert solutions for class 8 maths chapter 11 try these pg 175
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(1) Given,
A quadrilateral ABCD with diagonal AC = 6 cm
Heights = 3 cm and 6 cm
To find,
Area of the quadrilateral.
Solution,
The diagonal AC is dividing the quadrilateral into two triangles.
Area of triangle = 1/2 × base × height
Area of quadrilateral = area of ∆ ABC + area of ∆ ACD
Area = 1/2 × base × ( Height of ∆ ABC + height of ∆ ACD)
Area = 1/2 × 6 × ( 3+5)
Area = 1/2 × 6 × 8
Area = 24 cm²
(2) Given,
The quadrilateral is a rhombus.
diagonal 1 = 7 cm
diagonal 2 = 6 cm
To find,
Area of the rhombus.
Solution,
We know,
Area of rhombus = 1/2 × diagonal 1 × diagonal 2
Area = 1/2 × 7 × 6
Area = 21 cm².
(3) Given,
The quadrilateral is a parallelogram.
Diagonal is dividing it into two triangles of the same bases and heights.
Base = 8 cm
Height = 2 cm
To find,
Area of the parallelogram.
Solution,
Area of parallelogram = sum of the area of two triangles
Area = 2 × 1/2 × base × height ( The base and height are the same of two triangles. So, the formula is multiplied by 2)
Area = base × height
Area = 8 × 2
Area = 16 cm².