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

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Answer 1

Given:

As we can see from the question image:

Length of rectangle = 10 cm

Width of rectangle = y cm

The rectangle is equable.

To find:

Width, y = ?

Solution:

We are given that the rectangle is equable.

First of all, let us learn the definition of equable:

Any shape is known as equable when its perimeter and area are equal.

Rectangle's perimeter = Sum of all sides

Perimeter of given Rectangle = 10 + y + 10 + y

Perimeter of given Rectangle = 20 + 2y

Rectangle's area = Length $\times$ Width

Area of given Rectangle = 10 $\times$ y

Area of given Rectangle = 10y

It is given that the rectangle is equable, so equating its Area and Perimeter:

$10y = 20+2y\\\Rightarrow 8y=20\\\Rightarrow y = \dfrac{20}{8}\\\Rightarrow y = 2.5\ cm$

So, correct answer is:

c) 2.5 centimetres

Answer 2

Answer:

Hey mate 2.5 is correct answer