Answer: 45in²
Step-by-step explanation:
Step 1: Divide the shape into 2
Whenever the shape contains a triangle, make sure that 1 of the cut out shapes is a triangle. see image
Step 2: Find missing lenths
TRIANGLE
Base= 13
height= ?
To find the height, use clues. In other words, we know that the height of the whole shape is 6, and that the height of the rectangle portion is 4. So the remaining height for the triangle just has to be 2, because 4+2=6.
So h=2
RECTANGLE
Length= 8
Width= 4
Step 3: Find the area of each shape
TRIANGLE
Formula for area of a triangle= 1/2xbxh
1/2x13x2= 1/2 x 26= 13
Area= 13 in²
RECTANGLE
Formula for area of a rectangle= Lxw
8X4= 32
Area= 32 in²
Step 4: Add the 2 areas to find the total area for the whole shape
Triangle area= 13
Rectangle area= 32
13+32= 45
Therefore, the area of this shape is 45 in²
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here are some free practice questions on the topic, if it helps! https://www.ixl.com/math/grade-7/area-of-compound-figures-with-triangles
Hope this helps :))) Also brainliest would be appreciated; worked pretty hard on this :D
