For any square the area is given by
where
is the length of one side. (This comes from the general rectangle formula
with
).
To solve for
we take the square root of both sides:
Now we can substitute known values:
If the 5 of them weigh 1/4 of a ton
then 1 of them weigh x
5/1 = 1/4//x Do you see what happens? Just by writing down the givens you get a proportion. It will work better for you if you change the 1/4 to 0.25
5/1 = 0.25/x Now it looks like an ordinary proportion. Cross multiply
5x = 0.25*1 divide by 5
x = 0.25/5
x = 0.05 tons. We better change this to pounds.
1 ton = 2000 pounds
0.05 ton = x
1/0.05 = 2000/x Cross multiply
x = 2000 * 0.05
x = 100 pounds.
Answer:
240 cm², A = 300 cm², and 540 cm²
Step-by-step explanation:
1) The area of a parallelogram is A = bh, so:
A = (20)(12)
A = 240 cm²
2) Similarly, the area of a rectangle is A = bh, so:
A = (15)(20)
A = 300 cm²
3) The composite area is the sum of both the rectangle's area and the parallelogram's area, so:
240 cm² + A = 300 cm² = 540 cm²
