a rectangle with diagonals of length 20 cm has sides in the ratio 4:3 find out the area of the rectangle
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Answer:
7.68 cm²
Step-by-step explanation:
LET THE LENGTH AND BREADTH OF RECTANGLE BE 4x AND 3x RESPECTIVELY
The length of diagonal = √l²+b²= 20 cm
= (20)² = (4x)²+(3x)²
= 400 = 16x² + 9x²
= 400 = 25x²
=√ 400 = 25x
= 20 = 25x
therefore , x = 4/5 or 0.8 cm
now, length of rectangle = 4* 0.8 = 3.2 cm
breadth of rectangle= 3*0.8 = 2.4 cm
THEREFORE , the area of rectangle = 3.2 * 2.4= 7.68 cm²
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