A painting, including the frame, measures 57 om by 19 cm. a) How many centimeters of framing were needed to frame the painting? b) How many millimeters of framing were needed to frame the painting? a) \( \square \) om were needed to frame the painting, (Eimplify your answer. Type an integer or a decimal.)

Let's break this down! To find the amount of framing used, we first need to calculate the perimeter of the painting including the frame. The formula for the perimeter \( P \) of a rectangle is: \[ P = 2 \times (length + width) \] For the painting, the length is 57 cm and the width is 19 cm. Plugging in the values gives us: \[ P = 2 \times (57 + 19) = 2 \times 76 = 152 \text{ cm} \] So, a) **152 cm** of framing were needed to frame the painting. Now, to convert this to millimeters, we know that 1 cm equals 10 mm. Therefore: \[ 152 \text{ cm} \times 10 = 1520 \text{ mm} \] Thus, b) **1520 mm** of framing were needed to frame the painting.