كيفية إيجاد مساحة شكل مركب مثال على شكل حرف L الرياضيات مع السيد ج

welcome to math with Mr Jay this video I'm going to cover how to find the area of composite shape now remember area is the amount of space or Surface inside of shape so how much space or Surface something covers when we find the area of composite shapes we can separate the shape into simpler shapes we find the area of those shapes and then add them together to find the total area let's jump into our example and you'll notice we don't have simple rectangle square triangle or whatever the case may be that we can easily find the area of so let's separate this shape or break this figure up into simpler shapes to work with now there are different ways to separate this figure but I'm going to separate it into top and bottom so let's separate this into top and bottom rectangle we now you can also separate this into left and right either way is correct and you will get the same total area in the end now let's call this shape and this shape let's start by finding the area of and since it is rectangle let's use the formula area equals length times width now I'm using cursive that way it doesn't look like one now we need to find the correct length and width for rectangle well this is 7 by 6 rectangle so let's plug those in seven times six it's very important that we pick the correct length and width for the given rectangle for example we don't need this 11 feet here that goes all the way down here so be careful about which side lengths you are using for calculating the area also want to mention don't get too held up on which is the length and which is the width I'm using the longer side length for the length to keep it consistent but really you're going to get the same area either way so in my opinion don't get too held up on which is the length and which is the width just make sure you are using the correct sides for calculating that area so as far as the area for 7 times 6 gives us 42 and this is square feet so the area here is 42 square feet now we need to find the area of so area equals length times width so now let's pick out the correct sides here as far as what we need to calculate the area this is 14 by 4 rectangle so 14 feet by four feet so let's plug those in again I'm using the longer side length for the length so 14 times 4. now before we multiply 14 times 4 do want to mention we did not need this eight feet because that only goes to that point we needed the 14 feet all the way across the bottom of that rectangle so again we need to be careful as far as which side lengths we are using so now let's multiply 14 times 4 equals 56. so the area of is 56 square feet now we have all of the information we need to find the total area of the composite shape we need to add so 42 square feet plus 56 square feet so the total area we have 42 square feet Plus 56. square feet 42 plus 56 gives us 98 Square feet and that's our final answer here the final area of that composite shape so there you have it there's how to find the area of composite shape separate the composite shape into simpler shapes find those areas and then add those areas to find the total area hope that helped thanks so much for watching until next time peace