Math, asked by harisreeHari9776, 11 months ago

The perimeter of a rectangle is 310 m. The length is 25 m greater than the width. What are the length and the width of this rectangle?

Answers

Answered by Anonymous
0

Width: 65 m

Length: 90 m

Explanation:

The perimeter of a reactangle is given by the formula

P

=

2

(

w

+

L

)

, where

w

- the width of the rectangle;

L

- the length of the rectangle.

You know that the length of the rectangle is 25 m greater than it width. In other words, if you add 25 meters to the rectangle's width, you get its length.

This can be written as

L

=

w

+

25

The perimeter will be equal to

P

=

2

w

+

(

w

+

25

)



=L

P

=

2

(

w

+

w

+

25

)

=

2

(

2

w

+

25

)

=

4

w

+

50

This means that the width of the rectangle will be

4

w

=

P

50

=

310

50

=

260

w

=

260

4

=

65 m

The length of the rectangle will be

L

=

w

+

25

=

65

+

25

=

90 m

Check to see if the values you got are correct

P

=

2

(

65

+

90

)

=

2

155

=

310

the two values are valid!

Answered by hemansh38
0

perimeter of rectangle = 2×L+B

Length =x+25

length = x

2×(x+x+25)

2×(2x+25)=310

4x+50=310

4x=260

x=65


hemansh38: here's your answer friend
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