Question

The length L of the base of a rectangle is 5 less than twice its height H. Write the algebraic expression to model the area of the rectangle.

Answer 1

Answer: 2H^2 - 5H

Explanation:
1. L = 2H - 5
2. Area of a rectangle is length (L) times height (H), so in this case, it would be (H) x (2H - 5)
3. Multiply H by everything in the parenthesis
4. You should get 2H^2 - 5H

Answer 2

The length L of the base of a rectangle is 5 less than twice its height H. Then the algebraic expression be, area of rectangle = 2H² - 5H.

What is the algebraic expression to model the area of the rectangle?

Let, the given information be "The length L of the base of a rectangle is 5 less than twice its height H".

L be the length of the rectangle

H be the height of the rectangle

By converting the given information into an algebraic expression, we get

Length = 2H - 5

The area of a rectangle is given by the formula;

Area of rectangle = L $*$ H

Where L is the Length.

H is the Height.

Substituting the values into the formula, we have;

Area of rectangle = (2H - 5) $*$ H

Area of rectangle = 2H² - 5H

Therefore, the area of rectangle = 2H² - 5H.

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