Question

Leonardo da Vinci's painting of the Last Supper is a \(460-\mathrm{cm}\) by \(880-\mathrm{cm}\) rectangle. a. Calculate its perimeter. b. Would the painting fit in your living room? Explain.

Short answer

Answer: The perimeter of the painting is 2680 cm. To determine whether it would fit in a standard living room, you would need to measure your living room's dimensions. However, if your living room is similar in size to a typical living room of 300 cm x 400 cm, the painting would likely not fit due to its large dimensions.

Step-by-step solution

Understand the given information

The painting is in the shape of a rectangle, with dimensions of \(460 \thinspace cm\) and \(880 \thinspace cm\). We need to find the perimeter of this rectangle and determine if it could fit in a living room.

Calculate the perimeter

The formula to find the perimeter of a rectangle is \(P = 2l + 2w\), where \(P\) is the perimeter, \(l\) is the length, and \(w\) is the width. Using the given dimensions, we have \(l = 880 \thinspace cm\) and \(w = 460 \thinspace cm\). Plug in these values into the formula: \(P = 2(880) + 2(460)\) \(P = 1760 + 920\) \(P = 2680 \thinspace cm\) So the perimeter of the painting is \(2680 \thinspace cm\).

Determine if it will fit in a living room

We cannot exactly answer this question without knowing the dimensions of the living room. However, we can provide some context on typical living room sizes. A standard living room in many homes might be around \(300 \thinspace cm \times 400 \thinspace cm\). In that case, the painting would certainly not fit, as the length alone of the painting (\(880 \thinspace cm\)) is more than double the length of the living room. You will need to measure your own living room's dimensions to determine if the painting can fit. Consider both the floor space and wall space, as well as the height of the room. If your living room is larger than the dimensions of the painting, then the painting would fit.