The perimeter of a square equals the perimeter of a rectangle. The square has side (x + 4). The rectangle has length 3x and breadth 4. Using the figure, find x so that the two perimeters are equal.

Question

Accepted Answer

4. Square perimeter = 4(x + 4) = 4x + 16. Rectangle perimeter = 2(3x + 4) = 6x + 8. Set equal: 4x + 16 = 6x + 8, so 16 - 8 = 6x - 4x, 8 = 2x, giving x = 4.

The perimeter of a square equals the perimeter of a rectangle. The square has side $(x + 4)$ . The rectangle has length $3 x$ and breadth 4.
Using the figure, find $x$ so that the two perimeters are equal.

Step-by-Step Solution

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More Class 7 Variables on Both Sides practice

The perimeter of a square equals the perimeter of a rectangle. The square has side (x+4). The rectangle has length 3x and breadth 4.Using the figure, find x so that the two perimeters are equal.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 7 Variables on Both Sides practice

The perimeter of a square equals the perimeter of a rectangle. The square has side $(x + 4)$ . The rectangle has length $3 x$ and breadth 4.
Using the figure, find $x$ so that the two perimeters are equal.