Question

select the correct answer. solomon is planning to recover a lampshade. how much fabric does he need? 12 cm 16 cm 12 cm a. 1,056 cm² b. 912 cm² c. 768 cm² d. 2,304 cm²

Explanation:

Step1: Identify the shape of lampshade

Assume the lampshade is a rectangular - prism - like shape (open - top). We need to find the surface area of the four sides.

Step2: Calculate the area of two pairs of opposite sides

The two pairs of opposite sides have dimensions: one pair with length 16 cm and width 12 cm, and the other pair with the same dimensions.
The formula for the area of a rectangle is $A = lw$.
For one pair of sides with $l = 16$ cm and $w = 12$ cm, the area of one side is $A_1=16\times12 = 192$ $cm^2$. The area of the pair is $2\times192 = 384$ $cm^2$.
Since there are two such pairs of sides, the total surface area of the four - sided lampshade is $2\times384=768$ $cm^2$.

Answer:

C. $768$ $cm^2$