Question

The perimeter of a rectangle is<br />28cm. Find the area of the<br />rectangle if the breadth is 4cm.​

Answer 1

$\rightarrow$ Length =10cm

$\rightarrow$ Area= ${80cm}^{2}$

Step-by-step explanation:

Question -

The perimeter of a rectangle is<br />28cm. Find the area of the<br />rectangle if the breadth is 4cm.

ㅤ

ㅤ

Given-

$\rightarrow$ Perimeter = 28cm.

$\rightarrow$ Breadth = 4cm.

ㅤ

To find -

$\rightarrow$ Length.

$\rightarrow$ Area.

ㅤ

Answer-

Let's first find the length of the rectangle.

Taking length as 'x'.

ㅤ

$\color{black}\boxed{\colorbox{saffron}{Perimeter-2(length+breadth) }}$

$28 = 2(4 + x) \\ \\ 28 = 8 + 2x \\ \\ 28 - 8 = 2x \\ \\ 20 = 2x \\ \\ \frac{20}{2} = x \\ \\ 10 = x$

So, area= 10 cm.

Let's now find the area.

$\color{black}\boxed{\colorbox{saffron}{Area - length×breadth}}$

$10 \times 8 \\ \\ = 80 {cm}^{2}$

ㅤ

ㅤ

Required Answer -

$\rightarrow$ Length =10cm

$\rightarrow$ Area= ${80cm}^{2}$

Answer 2

Answer:

Area = 40cm²

Step-by-step explanation:

Given Information -

• Perimeter = 28 cm
• Breadth = 4cm.

To Find -

• Area.

Solution -

To find area, we will find the length prior finding area and after attaining the same, we'll find our required answer.

• $\underline{\boxed{\sf\purple{Perimeter_{(rectangle)} = 2(length+breadth)}}}$

Taking length as 'x'

• 28=2(x+4)
• 28=2x+8
• 28-8=2x
• 20=2x
• 10=x

So, length is 10 cm.

ㅤ

• $\underline{\boxed{\sf\purple{Area_{(rectangle)} = length×breadthl}}}$
• =10×4
• =40 cm²

Area of this given question is 40 cm².