Answer:
The area of the rectangle A = 25x² - 20x
Step-by-step explanation:
Given
The width of the rectangle = w = 5x - 4
The length of a rectangle = l = 5x
To determine
The area of the rectangle = ?
Using the Formula to determine the area of the rectangle
substitute w = 5x - 4 and l = 5x in the formula
Apply distributive law: a(b-c) = ab - ac
as 5x(5x) = 25x² and 4(5x) = 20x, so
Therefore, the area of the rectangle A = 25x² - 20x
Answer:
Step by step explanation:
1.1.1 We know that 1kg is equivalent to 1000g, then we can convert:
1.1.2 For 400g of tomatoes:
1.1.3. For 500ml of water, convert this into liters. We know that a 1ml is 0.001 lt
1.1.4. Since capacity is represented by the following expression:
We know that 1 cubic centimeter is equal to 0.001 liters.
Answer:
2.99 cm²
Step-by-step explanation:
<em>(The "..." at the end of the decimal means that number is repeating)</em>
The perimeter of a rectangle is the length around the shape. The equation for a rectangle's perimeter is L + W × 2, with L and W representing length and width, respectively (You multiply the length and width by two because the shape is four-sided, so it has two length sides and two width sides). To find the area of the rectangle, you need to know the individual length and width, so you'll solve for that first.
Since you're only given the perimeter and you know the length is double the width, you'll need to work backwards with this equation. To do this, first divide the perimeter (7 , also written as 7.33...) by 2; this equals 3
, also written as 3.66...
Next, you can find the length and width by determining what two numbers multiply to equal 3.66..., with one number being two times larger than the other number. The way I tend to think of this is that if one number is double the other, then the smaller number is one third of the sum of the two numbers (since the smaller number represents one part of the sum, and the other represents two parts of the sum, which is double the smaller number).
Since the length and width combine to be the divided perimeter, 3.66..., that means two thirds of 3.66... is the longer side (the length), and then the one third of 3.66... is the shorter side (the width). This means the length is 2.44... and the width is 1.22...
Finally, you can solve for the perimeter by dividing the perimeter by two and then subtracting the length squared. The written equation looks like this:
A = P - L²
(A = area, P = perimeter, L = lenth)
Now just insert the numbers into the equation and solve!
The area of the rectangle is 2.99cm²