Problem:

The length of a rectangular garden is 4 meters more than thrice the width. The perimeter of the rectangular garden is 88 meters. Find the length and width of the rectangular garden.

Solution:

A diagram is particularly useful in a problem of this kind. A rectangle is four-sided figure in which the opposite sides are equal and the sides meet at right angles. Thus, for a rectangle we need to write the formula of perimeter.

• P = 2l + 2w

In our problem we are told that the length 4 meters more than thrice the width. Since the length is described in terms of the width we can let

• w = width of the rectangle

In representation,

Let w be the width of rectangle

Then, let 4 + 3w be the length of rectangle

The perimeter of a rectangle is 88

The perimeter being 88 meters gives us the equation.

• P = 2l + 2w
• 88 = 2(4 + 3w) + 2w
• 88 = 8 + 6w + 2w
• 88 = 8 + 8w
• 88 - 8w = 8
• -8w = 8 - 88
• -8w = -80/-8
• w = 10

If the width is 54 metters, then substitute the w in the equation of the length to find its value.

• L = 4 + 3w
• L = 4 + 3(10)
• L = 4 + 30
• L = 34

Answer:

• The length is 34m and width is 10m of the rectangular garden.

#CarryOnLearning

Answer:

946

Step-by-step explanation:

4 × 3 = 12

12×88=946

#Pa_brainliest_po

#carry_on_learning