Answer: Each triangle area would be 44 square inches
Step-by-step explanation:
We start with the small triangle, which has a base of 4 inches and an area of 22 square inches. To find the height of the small triangle, we use the formula for the area of a triangle: Area = 1/2 × base × height.
We plug in the values we know: 22 square inches for the area and 4 inches for the base. Rearranging the formula, we solve for the height. The calculation gives us a height of 11 inches for the small triangle.
Now, for the large triangle, we know that the base length is 8 inches. We can use the height we found for the small triangle to calculate the area of each large triangle. Again, we use the formula for the area of a triangle: Area = 1/2 × base × height.
We plug in the values we know: 8 inches for the base and 11 inches for the height (which we found from the small triangle). Solving the equation, we find that the area of each large triangle is 44 square inches.
