aiden is buying a house and looking at blueprints to make his decision. if 5 cm on the scale drawing below is equal to 9 yards , what is the area of the living room
The area of the living room is 45 square yards (5 cm x 9 yards = 45 square yards).
The first to answer is correct.. or so I would hope. Otherwise, I may need to go back to school.
you need both the length and the width
Area = L in cm * W in cm = L * W cm^2 in cm^2
then
multiply by (9 yards / 5 cm)^2 or (81/25) to get yards^2
To find the area of the living room on the blueprint, we need to have the measurements in the blueprint and then convert them to real-life measurements.
First, let's determine the conversion factor between the blueprint measurements and the real-life measurements. In this case, we know that 5 cm on the blueprint is equal to 9 yards in real life.
Now we need to measure the dimensions of the living room on the blueprint. Let's say the length of the living room on the blueprint is 8 cm and the width is 6 cm.
To convert these measurements to real-life measurements, we will use the conversion factor. Since 5 cm on the blueprint is equal to 9 yards, we can set up a proportion:
5 cm / 9 yards = 8 cm / x
To solve for x, we cross-multiply and then divide:
5 cm * x = 8 cm * 9 yards
5x = 72 cm*yards
To convert cm*yards to square yards (area), we need to multiply it by itself:
(5x) * (5x) = (72 cm*yards) * (72 cm*yards)
25x^2 = 5184 cm^2*yards^2
To convert cm^2*yards^2 to square yards (area), we need to divide it by the conversion factor (9 yards/5 cm):
25x^2 / (5184 cm^2*yards^2) * (9 yards/5 cm) * (1 square yard / 1 yard) = Area in square yards
Simplifying the expression and computing the values will give us the final answer: the area of the living room on the blueprint.