Question

Ryan runs around a square of side 70 m. Matthew runs around a rectangle length of 40m and breadth of 60m. who covers the smaller distance.full explanation please including problem solving​

Answer 1

Answer:

ryan

Step-by-step explanation:

2 l +b

100 x 2

200

ryan

70x 4

280

so matthew less distance by 80 m less than ryan

Answer 2

Given:

A square where Ryan with

• Side = 70 m

A rectangle where Matthew run with

• Length = 40 m
• Breadth = 60 m

What To Find:

We have to find who covers the smaller distance.

How To Find:

To find who covers the smaller distance we have to know that

• They were running around the respective fields thus we have to find the perimeter of both the fields.
• Then measure who has measure who has cover the smaller distance.

Formula Used:

1. Perimeter of square = 4 × side

2. Perimeter of rectangle = 2(l + b)

Solution:

• Finding the perimeter of sqaure where Ryan runs around,

Using the formula,

⇒ Perimeter = 4 × side

Substitute the value,

⇒ Perimeter = 4 × 70 m

Multiply 4 by 70,

⇒ Perimeter = 280 m

∴ Thus, Ryan runs around a square of measuring 280 m.

• Finding the perimeter of Matthew runs around.

Using the formula,

⇒ Perimeter = 2(l + b)

Substitute the values,

⇒ Perimeter = 2(40 m + 60 m)

Solve the brackets,

⇒ Perimeter = 2(100 m)

Remove the brackets,

⇒ Perimeter = 200 m

∴ Thus, Matthew runs around a recatngke of measuring 200 m.

• Finding who has covered shorter distance

⇒ Ryan covered = 280 m

⇒ Matther covered = 200 m

As we can see that,

⇒ 280 m > 200 m

That is,

⇒ Ryan  > Matthew

∴ Thus, Matthew covered shorter distance than Ryan.