x Jesse made a triangular canvas with dimensions, as shown below.
20 cm
116 cm
I
20 cm
24 cm
What is the area of the canvas in square centimeters?
To find the area of a triangle, we use the formula: Area = (base x height) / 2.
In this case, the base is 116 cm and the height is 20 cm. So the area of the first triangle is:
Area = (116 cm x 20 cm) / 2
= 2320 cm² / 2
= 1160 cm²
For the second triangle, the base is 24 cm and the height is 20 cm. So the area of the second triangle is:
Area = (24 cm x 20 cm) / 2
= 480 cm² / 2
= 240 cm²
To find the total area of the canvas, we add the areas of the two triangles:
Total Area = 1160 cm² + 240 cm²
= 1400 cm²
Therefore, the area of the canvas is 1400 square centimeters.
why does the triangle have four sides?
Apologies for the confusion. A triangle does indeed have three sides.
If Jesse made a triangular canvas, it should have three sides, not four. The dimensions provided seem to indicate two separate triangles. In this case, we need to find the areas of each triangle separately and add them together.
For the first triangle, with dimensions 20 cm, 116 cm, and I (which I assume is an unknown value):
Using the formula for the area of a triangle, we have:
Area = (base x height) / 2
= (116 cm x 20 cm) / 2
= 2320 cm² / 2
= 1160 cm²
Now for the second triangle, with dimensions 20 cm, 24 cm, and I:
Area = (base x height) / 2
= (24 cm x 20 cm) / 2
= 480 cm² / 2
= 240 cm²
To find the total area of the canvas, we add the areas of the two triangles:
Total Area = 1160 cm² + 240 cm²
= 1400 cm²
Therefore, the area of the canvas is 1400 square centimeters. Apologies for the incorrect response in my previous message.