Mathematics High School

The rectangle has length 8 cm and area 48 cm2.
The perimeter of the square is the same as the perimeter of the rectangle.

Calculate the area of the square.

Answers

Answer 1

Step-by-step explanation:

Given,

length of rectangle(l)= 8cm

area of rectangle(A) = 48cm2

breadth of rectangle(b) = ?

Perimeter of rectangle (P)=?

We know ,

Area of rectangle(A) = l×b

or, 48cm2 = 8cm×b

or, 48cm2 = 8bcm

or, 48cm2/8cm = b

or, 6cm = b

or, b = 6cm

therefore, b = 6cm

Perimeter of rectangle (P) = 2(l+b)

= 2(8cm+6cm)

= 2×14cm

= 28cm

therefore, Perimeter of rectangle(P) = 28cm

Now,

According to the question,

Perimeter of rectangle(P) = Perimeter of square(P)

So,

Perimeter of square(P) = 28cm

length of square(l) = ?

Area of square (A) = ?

We know,

Perimeter of square (P) = 4l

or, 28cm = 4l

or, 28cm/4 = l

or, 7cm = l

or, l = 7cm

therefore, l = 7cm

Now,

Area of square (A) = l^2

= (7cm)^2

= 7cm×7cm

= 49cm^2

therefore, area of square (A)= 49cm^2

Answer 2

The area of the square based on the information is 49cm².

Since the rectangle has length 8 cm and area 48 cm², the width will be:

= 48/8 = 6cm.

Therefore, the perimeter will be:

= 2(l + w)

= 2(8 + 6)

= 28cm

Therefore, the length of the square will be:

= 28/4 = 7

Area of the square will be:

= 7cm × 7cm

= 49cm²

Learn more about perimeter on:

https://brainly.com/question/16596982

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Answers

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Answers

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