If the given rectangle is an equable shape, then the value of y is
a) 1.1 centimeters
b) 10 centimeters
c) 2.5 centimeters
d) 4.5 centimeters
please give step by step explanation
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If the given rectangle is an equable shape, then the value of y is
a) 1.1 centimeters
b) 10 centimeters
c) 2.5 centimeters
d) 4.5 centimeters
please give step by step explanation
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Answer:
Step-by-step explanation:
omplete question:
Question content: If the given rectangle is an equable shape, then the value of y is a) 1.1 centimeters b) 10 centimeters c) 2.5 centimeters d) 4.5 centimeters
Refer to the attachment.
Equable rectangle: an equable rectangle has its perimeter and area numerically equivalent.
Solution:
Given that, x cm and y cm are length and width respectively of the rectangle.
Then its
perimeter = 2 (x + y) cm
area = xy sq. cm
Given, x = 10 cm
Since the given rectangle is equable, we write:
2 (x + y) = xy
or, 2 (10 + y) = 10y
or, 10 + y = 5y
or, 5y - y = 10
or, 4y = 10
or, 2y = 5
or, y = 2.5
Therefore, the value of y is 2.5 cm.
Option (c) 2.5 centimetres.
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