Question

5) The area of a rectangular park length 40m is 800sq.m. Labdhi cycles 4 times
around this park. What distance has she cycled?​

Answer 1

Step-by-step explanation:

area=lb

400=40b

b=10

distance in one round=100

distance for 4 rounds=400

Answer 2

SOLUTION:-

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➝ Here, the question has given us the area of a rectangular plot that is 800 m² and length that is 40 m respectively. Now, it is given that Labdhi cycles 4 times around that rectangular park. Now, the question has asked us to find the distance she has cycled. To find the distance first of all we will find the breadth. We simply have to apply the formula of area of rectangle to find the breadth and then after we need to apply the formula of perimeter of rectangle. And as she cycled 4 rounds around the park we will multiply 4 with the perimeter and we will get our answer.

ANSWER:-

☆ Breadth of the rectangle = 40 m

☆ Perimeter of the rectangle = 120 m

☆ Distance covered by Labdhi = 480 m

GIVEN:-

↣ Length of the rectangle = 40 m

↣ Area of the rectangle = 800 m²

FIND:-

➱ Breadth of the rectangle = ?

➱ Perimeter of the rectangle = ?

➱ Distance covered by Labdhi = ?

FORMULAE:-

➮ Area of rectangle = (L × B) [To find the breadth]

➮ Perimeter of rectangle = 2(L + B) [To find the perimeter]

➮ Distance covered = [2(L + B)] × 4

Where,

• L = Length
• B = Breadth
• P = Perimeter

SOLVING BY APPLYING THE FORMULA:-

• FINDING THE BREADTH:-
• Let Breadth be B.

☞ 800 = 40 × B [Finding Breadth]

☞ Taking 40 to LHS.

☞ 800 / 40 = B

☞ 20 = B

☞ B = 20 m

Hence, we got the breadth of the rectangle. Breadth of the rectangle is 20 m.

• FINDING THE PERIMETER:-

☞ Perimeter = 2(40 m + 20 m)

☞ Perimeter = 2 × 60 m

☞ Perimeter = 2 × 60 m = 120 m

☞ Perimeter = 120 m

Hence, we got the perimeter of the rectangle. Perimeter of the rectangle is 120 m.

• FINDING DISTANCE COVERED BY LABDHI:-

☛ Distance = [2(40 m + 20 m)] × 4

☛ Distance = (2 × 60 m) × 4

☛ Distance = 120 m × 4

☛ Distance = 120 m × 4 = 480 m

☛ Distance = 480 m

Thus, we got the distance covered by Labdhi. She covered 480 m in 4 rounds.

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