Question

The area a square is equal to the area of a rectangle, the side of the square is 60m and the length of the rectangle is 90m find the breadth of it

Answer 1

Step-by-step explanation:

Step-by-step explanation:The area of a square park is the same as of a rectangular park. If the side of the square park is 60 m and the length of the rectangular park is 90 m, find the breadth of the rectangular park. Hence, the required breadth= 40m.

Answer 2

Answer:

${ \purple{ \large{ \underline{ \pmb{ \frak{Given : }}}}}}$

★The area of a square park is the same as of a rectangular park

★ If the side of the square park is 60 m and the length of the rectangular park is 90 m

★ find the breadth of the rectangular park.

${ \purple{ \large{ \underline{ \pmb{ \frak{ To \: Find : }}}}}}$

★ The breadth of the rectangular park

${ \purple{ \large{ \underline{ \pmb{ \frak{ Let's \: understand \: the \: concept : }}}}}}$

☀️Concept : Now, we have said that the area of square park is equal to the rectangular park. so, we have to find the area of the square park first and then as we know that the area of the rectangular park is the same so, let's find its breadth with the help of he area.

${ \purple{ \large{ \underline{ \pmb{ \frak{Using \: concept : }}}}}}$

~ Formula to find the area of a square :

➼ Area of a Square = Side times Side

~ Formula to find the area a rectangle :

➼ Area of a rectangle = Length times Breadth

${ \purple{ \large{ \underline{ \pmb{ \frak{Full \: solution : }}}}}}$

~ Now, let's find the Area of the square first Substituting the measurement of its dimension which is 60m using the below mentioned formula

✪ Area of the square = Side × Side

➼ Area of the square = S × S

➼ Area of the square = S²

➼ Area of the square = 60m²

➼ Area of the square = 3600m²

• Henceforth the area of the square is 3600m²

★ We know that,

➼Area of the square = Area of the rectangle

➼ 3600m² = Area of the rectangle

• Henceforth the area of the rectangle = 3600m²

~ Now let's find the breadth of the rectangle with the help of its area and the measurement of its length which are 3600m² and 90m respectively Substituting the values in the below mentioned formula.

✪  Area of a rectangle = Length × Breadth

➼ Area of the rectangle = L × B

➼ 3600cm² = 90 × B

➼ B = 3600m²/90m

➼ B = 40m

• Henceforth the Breadth of the rectangle is 40m

${ \purple{ \large{ \underline{ \pmb{ \frak{Additional \: Information : }}}}}}$

★ Area of a Rhombus = ½ × D1 × D2

★ Perimeter of a Rectangle = 2(L+ B)

★ Area of a Parallelogram = Base × Hieght

★ Area of a Triangle = ½ × Base × Height

★ Area of a Circle = πr²

★ Perimeter of a Square = 4 × Side

★ Perimeter of a Parallelogram = 2( a + b )

★ Perimeter of a Circle = 2πr

★ Perimeter of a Triangle = Sum of all sides

${ \purple{ \large{ \underline{ \pmb{ \frak{ Diagrams : }}}}}}$

❍ Square :

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(4,0){2}{\line(0,1){4}}\multiput(0,0)(0,4){2}{\line(1,0){4}}\put(-0.5,-0.5){\bf D}\put(-0.5,4.2){\bf A}\put(4.2,-0.5){\bf C}\put(4.2,4.2){\bf B}\put(1.5,-0.6){\bf\large 60\ m}\put(4.4,2){\bf\large 60\ m}\end{picture}$

❍ Rectangle :

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large 90 m}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large 30 m}\end{picture}$