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1 year ago

A rectangle has length that is 5 less than 2 times the width. Write an expression for the area of the rectangle.

Mathematics

1 answer:

a_sh-v [17]1 year ago

7 0

We are given a relationship between the sides of a rectangle, that is, the length of one of its sides is 5 less two times its width, and we are asked to find an expression for the area. Let's remember that the area of a rectangle is equal to the product of the length of its side by its width. Let "w" be the length of the rectangle and "L" its lenght, then the area is given by the following formula:

$A=Lw$

We can use the relationship given in the problem, that is, its length being five less two times its width, that is:

$L=5-2w$

Replacing in the formula for the area we get:

$A=(5-2w)w$

Now we use the distributive law:

$A=5w-2w^2$

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Read 2 more answers

Solve for x.<br> -4 < 11 - 3.2

goldenfox [79]

Answer:

-4<11-(32/10)

Inequality is always true

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.2" was replaced by "(32/10)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

-4-(11-(32/10))<0

Step by step solution :

Step 1 :

Simplify ——

Equation at the end of step 1 :

-4 - (11 - ——) < 0

Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 5 as the denominator :

11 11 • 5

11 = —— = ——————

1 5

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

11 • 5 - (16) 39

————————————— = ——

5 5

Equation at the end of step 2 :

-4 - —— < 0

Step 3 :

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 5 as the denominator :

-4 -4 • 5

-4 = —— = ——————

1 5

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

-4 • 5 - (39) -59

————————————— = ———

5 5

Equation at the end of step 3 :

-59

——— < 0

Step-by-step explanation:

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4 years ago

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3 years ago