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A rectangle with a perimeter of 10 meters is to be constructed to have an area of 6 square meters what dimensions are required

User Ravisuhag
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Answer:

length = 3 meters and width = 2 meters

length = 2 meters and width = 3 meters

Explanation:

If you want to find out how big a rectangle is when you know its perimeter and area, you can use some math tricks. Here are the tricks:

Perimeter of a rectangle = 2 times (length plus width) 1

Area of a rectangle = length times width 2

Now we can use these tricks to find the length and width of the rectangle. Let's say the length is l and the width is w. Then we can write:

2 times (l plus w) = 10

l times w = 6

We can make the first trick easier by cutting both sides in half:

l plus w = 5

We can then get rid of one letter by using the other one. For example, we can write l as 5 minus w:

l = 5 - w

Then we can put this into the second trick:

(5 - w) times w = 6

This makes a puzzle that we can solve by opening up, moving around, and grouping:

5w minus w squared = 6

w squared minus 5w plus 6 = 0

(w minus 2) times (w minus 3) = 0

This means that either w minus 2 = 0 or w minus 3 = 0. Solving for w, we get two answers:

w = 2 or w = 3

We can then use these answers to find the matching answers for l:

If w = 2, then l = 5 - w = 5 - 2 = 3

If w = 3, then l = 5 - w = 5 - 3 = 2

So we have two ways to make the rectangle:

length = 3 meters and width = 2 meters

length = 2 meters and width = 3 meters

User Husseinbaalbaki
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