10th Grade Math Worksheets | Worksheets Worksheets - Free Printable

Let’s go through each problem one by one.

---

Problem 1: Find the area of a rectangle.

Given:
- Length = 5.2 m
- Width = 3 m

Formula for area of a rectangle:
Area = length × width

So:
5.2 × 3 = ?

Let’s calculate:
5 × 3 = 15
0.2 × 3 = 0.6
Total = 15 + 0.6 = 15.6

✔ Area = 15.6 square meters

---

Problem 2: Find the area of a triangle.

Given:
- Base = 6 cm
- Height = 4.5 cm

Formula for area of a triangle:
Area = (base × height) ÷ 2

So:
(6 × 4.5) ÷ 2

First, 6 × 4.5:
6 × 4 = 24
6 × 0.5 = 3
Total = 24 + 3 = 27

Now divide by 2:
27 ÷ 2 = 13.5

✔ Area = 13.5 square centimeters

---

Problem 3: Simplify –2√5 + 3√5

These are like terms — both have √5.

Think of it like:
–2 apples + 3 apples = 1 apple

So:
–2√5 + 3√5 = (–2 + 3)√5 = 1√5 or just √5

✔ Answer = √5

---

Problem 4: Simplify 6√3 – 2√3

Again, like terms — both have √3.

6√3 – 2√3 = (6 – 2)√3 = 4√3

✔ Answer = 4√3

---

Final Answer:
1. 15.6 m²
2. 13.5 cm²
3. √5
4. 4√3