Question

the length of a rectangle is 8m more than its breadth if its perimeter is 128m, find its length , breadth and Area

Answer 1

Answer:

Question:-

the length of a rectangle is 8m more than its breadth if its perimeter is 128m, find its length , breadth and Area

Answer:-

• The length of Rectangle is 36 m

• The breadth of rectangle is 28 m

• The area of Given rectangle is 1008 m².

To find:-

• Length and breadth of rectangle

• Area of rectangle

Solution:-

Let the breadth be x

Length = 8 + x

Perimeter = 128 m

Formula used:

$\large{ \sf{perimeter = 2(l + b)}}$

Now:

$\large{ \sf: \implies \: \: \: \: \: 2(8 + x + x) = 128}$

$\begin{gathered} \large{ \sf: \implies \: \: \: \: \: 8 + 2x = \frac{128}{2} } \\ \end{gathered}:$

$\large{ \sf:\implies \: \: \: \: \: 8 + 2x = 64}$

$\large{ \sf: \implies \: \: \: \: \: 2x = 64 - 8}$

$\large{ \sf: \implies \: \: \: \: \: 2x = 56}$

$\large{ \sf: \implies \: \: \: \: \: x = 28}$

The breadth of rectangle is 28 m

Length = 8 + x

 = 28 + 8

 = 36 m

Formula used:

$\large{ \sf{area = l \times b}}$

Now:

$\large{ \sf: \implies \: \: \: \: \: area = 28\times 36}$

$\large{ \sf: \implies \: \: \: \: \: area = 1008 \: {m}^{2} }$

The area of Given rectangle is 1008 m².

Ummm done ✔ ^_^

Answer 2

Answer:

• Length is 36 m & breadth is 28 cm
• Area is 1008 m².

Step-by-step explanation:

Solution:-

Let the breadth,b be x metre

then, the length,l will be = x + 8 metres

and it is given that the perimeter of the rectangle is 128 m

As we know that perimeter of rectangle is calculated as the twice sum of length & breadth.

• Perimeter = 2 (l+b)

Substitute the value we get

→ 128 = 2 (x+x+8)

→ 128/2 = 2x + 8

→ 64 = 2x +8

→ 64-8 = 2x

→ 2x = 56

→ x = 56/2

→ x = 28 m

Length of the rectangle is x +8 = 28+8 = 36 m

Breadth of the rectangle is 28 m.

Now, calculating the area of rectangle . Area of rectangle is calculated by the product of Length & breadth.

• Area of rectangle = l ×b

Substitute the value we get

→ Area of rectangle = 28×36

→ Area of rectangle = 1008m²

• Hence, the area of the rectangle is 1008m².