Question

if the given rectangle is unequal shape then the value of Y is what​

Answer 1

EQUABLE SHAPES

• 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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Answer 2

The value of y is c) 2.5 centimetres.

Step-by-step explanation:

The image given in the question is attached below.

The perimeter of a rectangle is given by the formula:

P = 2(x + y)

The area of a rectangle is given by the formula:

A = xy

Now, from questions the rectangle is equable. Thus,

Perimeter = Area

2(x + y) = xy

On substituting the value of 'x', we get,

2(10 + y) = 10y

20 + 2y = 10y

20 = 8y

y = 20/8

∴ y = 2.5 cm