Math, asked by kumard75182, 7 months ago

The length of a rectangle is three times its width. It the perimeter is 84 m. find the length of the rectangle​

Answers

Answered by jeffwin18
1

Answer:

ANSWER

We have,

Let, width=xm

∴3xm

Given, rectangle=84m

2(length+width)=84

2(3x+x)=84

2×4x=84

8x=84

x=

8

84

x=

2

21

x=10.5m

Width of rectangle, x=10.5m

Length of rectangle 3x

=3×10.5m

=31.5m

Answered by Anonymous
4

✪ Question ✪

The length of a rectangle is three times its width. If the perimeter is 84 m, find the length of the rectangle.

✪ Given ✪

  • The length of a rectangle is three times its width.
  • The perimeter is 84 m.

✪ To find ✪

The length of the rectangle.

✪ Formula ✪

Area of a rectangle

= 2×(length + width) unit

✪ Solution ✪

Let the width be x m.

So, length = 3x m.

According to condition,

2×(3x + x) = 84

↝2×4x = 84

↝8x = 84

↝x = 84/8

↝x = 10.5

✪ Hence ✪

x = 10.5

So, width = x m = 10.5 m

and length = 3x m = (3×10.5) m = 31.5 m

✪ Therefore ✪

The length of the rectangle is 31.5 m.

-------------------------------------------------------------

✪ Verification ✪

2×(length + width) = 84

↝2×(31.5 + 10.5) = 84

↝2×42 = 84

↝84 = 84

So, L.H.S = R.H.S.

Hence, verified.

๑ Hope this helps you. ๑

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