Question

the breadth and area of rectangle are 7 cm and 105cm² respectively.find the length and perimeter of rectangle​​

Answer 1

Answer:

breadth is 15 cm and perimeter is 44cm^2

Step-by-step explanation:

hope it will help you

Answer 2

Given :-

The breadth of the rectangle = 7 cm

The area of the rectangle = 105 cm²

To Find :-

The length of the rectangle.

The perimeter of the rectangle.

Analysis :-

Consider the length as a variable.

Substitute the given values in the formula of area of rectangle and find the length accordingly.

At last, we can find the perimeter of the rectangle by substituting the values in their respective formula.

Solution :-

We know that,

• l = Length
• b = Breadth
• a = Area
• p = Perimeter

Let the length of the rectangle be 'x'.

By the formula,

$\underline{\boxed{\sf Area \ of \ rectangle=Length \times Breadth}}$

Given that,

Breadth (b) = 7 cm

Area (a) = 105 cm²

Substituting their values,

$\sf 105=x \times 7$

By transposing,

$\sf x=\dfrac{105}{7}$

$\sf x=15$

Therefore, the length of the rectangle is 15 cm.

Finding the perimeter,

$\underline{\boxed{\sf Perimeter \ of \ rectangle=2(Length \times Breadth)}}$

Given that,

Length (l) = 15 cm

Breadth (b) = 7 cm

Substituting their values,

Perimeter = 2(15 + 7)

= 2(22)

= 44 cm

Therefore, the perimeter of the rectangle is 44 cm.