Question

Write an expression that describes the length of a rectangle given that the width is 2z and the area is 16z^3 - 10z^2 + 2z.

Answer 1

☞Given :-

• Width of rectangle = 2z

• Area of rectangle = 16z³ - 10z² + 2z

☞To find :-

• Length of rectangle.

☞Solution :-

• Length of rectangle = ?

• Width of rectangle = 2z

• Area of rectangle = 16z³ - 10z² + 2z = 2z(8z² - 5z + 1)

☞Formula :-

Area of rectangle = length × breadth

→ 2z(8z² - 5z + 1) = length × 2z

→ length = 2z(8z² - 5z + 1) / 2z

→ length = 8z² - 5z + 1

Therefore,

An expression that describes the length of a rectangle is 8z² - 5z + 1