Question

The Are of a square is 49sq cm .A Rectangle has the same perimeter as the square.If the length of the rectangle is 9.3 cm, what is it's breadth? Also find which has greater area

Answer 1

Given

$\bold{Area \ of \ a \ square} = 49 \ cm^{2}$

$\boxed{\bold{Perimeter \ of \ a \ rectangle = Perimeter \ of \ a \ square}}$

$\bold{Let \ the \ length \ of \ the \ square \ be \ x.}$

$\implies x^{2} =49\\\implies \underline{\underline{ x = 7 \ cm}}$

$\underline{\underline{\bold{Perimter \ of \ the \ square}}}$

$= \sf 4 \times \bold{Length \ of \ each \ side \ of \ the \ square}$

$= 4 \times 7\\= \underline{\underline{ 28 \ cm}}$

$\bold{Length \ of \ the \ rectangle} = 9.3 \ cm$

$\bold{Let \ the \ breadth\ of \ the \ rectangle \ be \ b}$

$\implies 2(9.3+b)=28\\\implies 9.3+b=14\\\implies b=14-9.3\\\implies \underline{\underline{ b = 4.7 \ cm}}$

$\boxed{\boxed{\bold{Therefore, \ the \ breadth \ of \ the \ rectangle \ is \ 4.7 \ cm}}}}}}}}}}$

$\underline{\underline{\bold{Area \ of \ the \ rectangle}}}$

$= \sf Length \times Breadth\\= 9.3 \times 4.7\\= \underline{\underline{43.71 \ cm^{2}}}$

$\boxed{\boxed{\bold{Therefore, \ the \ square \ has \ greater \ area}}}}}$

                                                                     

Answer 2

♻️ QUESTIONS♻️

The Are of a square is 49sq cm .A Rectangle has the same perimeter as the square.If the length of the rectangle is 9.3 cm, what is it's breadth? Also find which has greater area?

♻️ANSWER♻️

✍️43.71 cm²

♻️TO FIND♻️

✏️GREATER AREA.

♻️GIVEN♻️

✴️Area of square is 49 sq.cm

✴️length of the rectangle is 9.3 cm

♻️ SOLUTION ♻️

The area of square is 49cm ²

The side of square is √49 =7cm

The perimeter of square is 4×7=28

⟹ The perimeter of rectangle is 28

The length of rectangle is 9.3cm

The breadth of rectangle is 2(9.3+b)=28

9.3+b=14

b=14−9.3

b=4.7cm

Area of rectangle is 4.7×9.3=43.71cm²

The square has greates area .