Question

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​

Answer 1

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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