Answer :
To find the area of a trapezoid, you use the formula:
[tex]\[ \text{Area} = \frac{1}{2} \times (\text{Base}_1 + \text{Base}_2) \times \text{Height} \][/tex]
For the given trapezoid:
- Base[tex]\(_1\)[/tex] is 15 cm
- Base[tex]\(_2\)[/tex] is 23 cm
- Height is 13 cm
Now, substitute these values into the formula:
1. Add the lengths of the bases: [tex]\(15 + 23 = 38\)[/tex] cm.
2. Multiply the sum of the bases by the height: [tex]\(38 \times 13 = 494\)[/tex] cm².
3. Divide the result by 2 to find the area: [tex]\(\frac{494}{2} = 247\)[/tex] cm².
Therefore, the area of the trapezoid is [tex]\(247\)[/tex] cm².
[tex]\[ \text{Area} = \frac{1}{2} \times (\text{Base}_1 + \text{Base}_2) \times \text{Height} \][/tex]
For the given trapezoid:
- Base[tex]\(_1\)[/tex] is 15 cm
- Base[tex]\(_2\)[/tex] is 23 cm
- Height is 13 cm
Now, substitute these values into the formula:
1. Add the lengths of the bases: [tex]\(15 + 23 = 38\)[/tex] cm.
2. Multiply the sum of the bases by the height: [tex]\(38 \times 13 = 494\)[/tex] cm².
3. Divide the result by 2 to find the area: [tex]\(\frac{494}{2} = 247\)[/tex] cm².
Therefore, the area of the trapezoid is [tex]\(247\)[/tex] cm².
