Question

Rectangle and square both have the same perimeter. The width of rectangle is 6 cm and side of the square is 8 cm. What is the area of rectangle?

Answer 1

Answer:

48cm^2 is the answer of this

Answer 2

QUESTION-:

Rectangle and square both have the same perimeter. The width of rectangle is 6 cm and side of the square is 8 cm. What is the area of rectangle?

EXPLANATION-:

HERE,

Side of square=8 cm

Width of rectangle=6 cm

We know that-:

$\longrightarrow \boxed{\underline{\bf\; Perimeter_{(square)}=4 \times side }}$

Putting the value and find perimeter-:

$\rightarrow \bf\; Perimeter_{(square)}=4 \times 8\\\\\rightarrow \underline{\boxed{\bf\; Perimeter_{(square)}=32\;cm}}$

Now it is given that-:

$\longrightarrow \boxed{\bf\; Perimeter_{(square)}=Perimeter_{(rectangle)}} \;\;\;\;\;\;\;\;\;\;\;\;\;----\bf\;eq^n-:1$

We know that-:

$\longrightarrow \boxed{\underline{\bf\; Perimeter_{(rectangle)}=2(l+b) }}$

Putting value in eqⁿ-:1

→2(L+b)=32

→2(L+6)=32

→2L+12=32

→2L=20

→L=10 cm

Now we know that-:

$\boxed{\bf\; Area_{(rectangle)}=L \times B }$

$\longrightarrow \bf Area_{(recatangle)}=10 \times 6\\\\\longrightarrow \boxed{\bf\; Area_{(rectangle)}=60\;cm^2}$

∴Area of rectangle is 60 cm²