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

Area of rectangle = 2H² - 5H

Explanation:

• Let the length be L.
• Let the height be H.

Translating the word problem into an algebraic expression, we have;

Length =2H - 5

To write the algebraic expression to model the area of the rectangle;

Mathematically, 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