6 — Rectangle and Square Areas

Rectangle and Square Areas

Solution & Explanation · ID: A8B79D6C

Question

A square piece of fabric has an area of 64 square inches. What is the length of each side?

Hint

Since area = side × side = 64, think: what number times itself equals 64?

Concept

To find the side length of a square when given its area, use the formula: side = √area, because area = side × side.

Show Answer

8 inches

Show Solution
1

Given information: area of square = 64 square inches

2

Use the relationship: area = side × side, so side = √area

3

Calculate: side = √64 = 8 inches

4

Verify: 8 inches × 8 inches = 64 square inches ✓

A square with all four sides labeled '8 in'. Inside the square is written 'Area = 64 sq in'. Below the square shows the verification calculation '8 × 8 = 64'. The square is outlined in black with equal sides clearly marked.