Question

If the area of rectangle is equal to half of the perimeter of square. If area of rectangle is 400 cm2 then find side of square.​

Answer 1

Answer:

Perimeter of rectangle = perimeter of square =80 cm

⇒2(l+b)=45=80

⇒S=

4

80

=20 cm;2(l+b)=80

⇒l+b=40 cm - (1)

difference m areas = 100 cm

2

5

2

−(lb)=100

(20)(20)−(lb)=100

⇒lb=300 - (2)

From (1) and (2)

30+10=40;3×10=l×b

⇒l=30 and b=10

sides of rectangle are 30,10 cm

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Question:-

If the area of rectangle is equal to half of the perimeter of square. If area of rectangle is 400 cm² then find side of square.

$\rightarrow \bf \fbox \red {The side of the square is 200cm}$

Solution:-

Area of rectangle = 2 ( l + b )

Perimeter of square = 4 x side

Given:-

Area of rectangle = 400cm²

$\begin{aligned} Area \: of \: rectangle = \frac{4 \times side}{2} \\ \\ \\ 400 = 2 \times side \\ \\ \\ \frac{400}{2} = side \\ \\ \\ \fbox {200 = side } \end{aligned}$

$\bf \fbox \green {Hence the side of the square is 200cm}$