Question
The perimeter of a square and a rectangle is in the
ratio of 16:15. The square has an area of 256 cm², and the length of the rectangle is 12.5% greater than the side length of the square. Determine the area of the rectangle.Solution
Given, area of the square = 256 cm2 So, the side of the square = √256 = 16 cm Or, the perimeter of the square = 4 X 16 = 64 cm So, the perimeter of the rectangle = (64/16) X 15 = 60 cm Length of the rectangle = 16 X (9/8) = 18 cm Let the breadth of the rectangle be 'y' cm So, perimeter of the rectangle = 2 X (length + breadth) 60 = 2 X (18 + y) Or, 30 = 18 + y Or, 'y' = 12 Therefore, area of the rectangle = 18 X 12 = 216 cm2
OPAQUE
Select the option that can be used as a one-word substitute for the given group of words.
Incapable of making errors.
- Choose the alternative which is closest to the opposite in meaning of the bold word in the sentence.
Her blatant attempt to win favor was quickly n... Sparse
- Choose the alternative which is closest to the opposite in meaning of the bold word in the sentence.
Further discussion seems superfluous , given t... Select the most appropriate SYNONYM of the given word in bold
Clandestine
Choose the correct ANTONYM for the given word .
AffhandÂ
Indicative
Select the most appropriate antonym of the given word.
Indolent
- Select the most appropriate synonym of the word in brackets to fill in the blank.
The teacher’s voice was so ________ that it put half the class ...
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