Jasmine has a piece of ceramic tile that is shaped as a parallelogram. What is the area of this parallelogram? 96 in² 288 in² 352 in² 384 in²
Accepted Solution
A:
⓵ To calculate the area of a parallelogram, the formula is base times height, just like the formula for the area of a rectangle! Why? Because if you look closely, every parallelogram can be made into a rectangle just by moving one of the triangle parts of it.
⓶ Now that we know that the formula to calculate the area of a parallelogram is : A = b × h
You need to find the numbers to replace the base and the height in the formula!
We already know that the height is : 12 in.
So we are left with a formula looking like this :
A = b × 12 in.
⓷ Now we need to find the base! To do so, you need to add the height of the rectangle (which is 8 in.) to the height of one of the triangle (which is 16 in.) :
8 in. + 16 in. = b
↓
8 in. + 16 in. = 24 in.
↓
24 in. = b
So we are left with a formula looking like this:
A = 24 in. × 12 in.
⓸ All there’s left to do now, is calculate the area of the parallelogram using the formula :
A = 24 in. × 12 in.
↓
24 in. × 12 in. = 288 in.²
↓
A = 288 in.²
So your final answer is : the area of this parallelogram is ↠ 288 in.²
I really hope this helped, if there’s anything just let me know! ☻