Question

A rectangle and a square have same area. The length of square and rectangle are 40 cm and 80 cm respectively. Find the breadth of the rectangle​

Answer 1

A rectangle and a square have same area. The length of square and rectangle are 40 cm and 80 cm respectively. Find the breadth of the rectangle .

Answer :

$\sf\pink{Given:}$

• Area of rectangle = Area of square

• length of square is 40 cm .

• length of rectangle is 80 cm .

$\sf\pink{To\:Find:}$

• Breadth of the rectangle = ?

Explanation :

We can find the breadth of the rectangle by using the formula of area of Rectangle is length × breadth . here , we have two unknown quantities one is breadth and the other is area . we can find the area of the rectangle by finding out the area of square because area of square is equal to the area of rectangle .

$\bf\red{Area\:of\: square = {side}^{2}}$

$\bf\red{Area\:of\: square = {40}^{2}}$

$\bf\red{Area\:of\: square = 40\times 40}$

$\bf\red{Area\:of\: square = 1600 }$

• Therefore area of square is 1600 cm²

• Areas of rectangle is also 1600 cm²

$\bf\purple{Area\:of\: rectangle = l\times b}$

$\longrightarrow\bf\purple{1600 = 60\times b}$

$\longrightarrow\bf\purple{1600 = 60b}$

$\longrightarrow\bf\purple{b = \dfrac{1600}{60}}$

$\longrightarrow\bf\purple{b = \dfrac{160}{6}}$

$\longrightarrow\bf\purple{b = 26.66 }$

Answer 2

Answer:

20 cm is the answer of the guestion ok I have workbook std 7 back answer are there