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Algebra Measurement Formulae

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Algebra Measurement Formulae worksheet preview

Algebra Measurement Formulae

Mathematical formulae and shapes illustration

📐 WALT: We Are Learning To substitute values into measurement formulae

1. The area of a rectangle is given by A = lw. Find the area when l = 8m and w = 5m.
2. The perimeter of a rectangle is P = 2l + 2w. Calculate P when l = 12cm and w = 7cm.
3. The volume of a rectangular prism is V = lwh. Find V when l = 6m, w = 4m, and h = 3m.
4. A traditional Māori kete (basket) has a rectangular base. If the rahinirahi (area) formula is A = lw, find the area when l = 25cm and w = 18cm.

🔄 WALT: We Are Learning To rearrange formulae to make different variables the subject

5. Rearrange the formula A = lw to make w the subject.

A = lw

w = _____________

6. Rearrange P = 2l + 2w to make l the subject.

P = 2l + 2w

l = _____________

7. The formula for the area of a triangle is A = ½bh. Rearrange to make h the subject.

A = ½bh

h = _____________

🎯 WALT: We Are Learning To solve real-world measurement problems using algebra

8. A rectangular garden has an area of 48m². If the length is 8m, what is the width?

Given: A = _______, l = _______

Formula: A = lw, so w = _______

9. A carved wooden box (taonga) has a volume of 240cm³. If the length is 8cm and width is 5cm, find the height.

Given: V = _______, l = _______, w = _______

Formula: V = lwh, so h = _______

10. Extension Challenge: A rectangular sports field has a perimeter of 300m. If the length is twice the width, find both dimensions.

Let width = w, then length = _______

Perimeter formula: P = 2l + 2w = _______

✅ Success Criteria Check

Tick when you can do each skill:

I can substitute numbers into algebraic formulae correctly

I can rearrange formulae to make a specific variable the subject

I can solve real-world measurement problems using algebra

I show my working clearly step-by-step

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