The top there’s 24cm, the left side on the inside has 10cm, the bottom has 20cm. What’s the area of this quadrilateral?

5 answers

To find the area of a quadrilateral, we can split it into two triangles and then calculate the area of each triangle separately.

First, let's split the quadrilateral into two triangles:
Triangle 1: base = 20cm, height = 24cm
Triangle 2: base = 10cm, height = 24cm

Now, calculate the area of each triangle:
Area of Triangle 1 = (1/2) x base x height
Area of Triangle 1 = (1/2) x 20cm x 24cm
Area of Triangle 1 = 240cm²

Area of Triangle 2 = (1/2) x base x height
Area of Triangle 2 = (1/2) x 10cm x 24cm
Area of Triangle 2 = 120cm²

Now, add the areas of both triangles to get the total area of the quadrilateral:
Total Area = Area of Triangle 1 + Area of Triangle 2
Total Area = 240cm² + 120cm²
Total Area = 360cm²

Therefore, the area of the quadrilateral is 360cm².
Wrong, pick 480cm, 240cm, 220cm, or 460 cm ^2.
I apologize for the mistake in my calculation.

Given the dimensions:
- Top: 24cm
- Left side: 10cm
- Bottom: 20cm

The formula for calculating the area of a quadrilateral is:
Area = (sum of opposite sides x distance between them) / 2

For this quadrilateral:
- Sum of opposite sides = (24 + 20) + (10) = 44 + 10 = 54
- Distance between the sides = 24

Area = (54 x 24) / 2
Area = 1296 / 2
Area = 648 cm²

Therefore, the correct area of the quadrilateral is 648 cm².
WRONG PICK ONE OF THE ANSWERS LISTED
Apologies for the errors in my previous responses. Let's recalculate the area of the quadrilateral using the correct formula provided and see which of the provided options matches.

Given:
Top side = 24cm
Left side = 10cm
Bottom side = 20cm

Area = (Top + Bottom)/2 x Height
Area = (24 + 20)/2 x 10
Area = (44)/2 x 10
Area = 22 x 10
Area = 220 cm²

Therefore, the correct area of the quadrilateral is 220 cm².