Question

What is the equation that models the situation for the steel company making flat rectangular frames with inside dimensions of 11 cm by 6 cm, aiming for a final area as close to 28 cm² as possible, with a uniform width?

A) Width×(Length−2×Width)=28

B) Width×(Length+2×Width)=28

C) (Length+2×Width)×(Width−2×Length)=28

D) (Length−2×Width)×(Width+2×Length)=28

Answer 1

The equation that models the situation for the steel company making flat rectangular frames with inside dimensions of 11 cm by 6 cm, aiming for a final area as close to 28 cm² as possible, with a uniform width is option A) Width×(Length−2×Width)=28.

Step-by-step explanation:

The equation that models the situation for the steel company making flat rectangular frames with inside dimensions of 11 cm by 6 cm, aiming for a final area as close to 28 cm² as possible, with a uniform width is option A) Width×(Length−2×Width)=28.

To solve this problem, we need to consider that the equation for the area of a rectangle is Length × Width. Since the inside dimensions of the frame are given, we need to find the width and length of the outer dimensions. Using the equation for the area of a rectangle, we can set up the equation: Width × (Length - 2 × Width) = 28. Solving this equation will give us the width of the frame.