1. A rectangle has a perimeter of 20 units.
Quantity A: Area of the rectangle
Quantity B: 25 sq units
l x b = 2 x 8 = 16;
l x b = 3 x 7 = 21;
l x b = 4 x 6 = 24
and l x b = 5 x 5 = 25.
In the figure given below, AC = 9 cm, CB = 25cm, and CD = 15cm. Find the area of the triangle ABC.
CB = 25 cm
CD = 15 cm
Angle CDB = 90 degrees.
Therefore, triangle CDB is a right angled triangle.
Now, we know that, CB = 25
Therefore, x = 25/5 = 5.
Now, therefore, BD = 4x = 4 x 5 = 20.
Now, we know that AC = 3y = 9.
Therefore, AB = AD + DB = 12 + 20 = 32 cm.
If you had chosen Option D, then you might have calculated only the area of triangle ACD.
If you had chosen Option B, then it is possible that you may have miscalculated the length of AB as 22 cm.
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