# Neha needs to stretch some sticks to 25² times their original lengths, but her (×25) machine is broken. Find a hook-up of two repeater machines that will do the same work as a (×25²) machine. To get started, think about the hookup you could use to replace the (×25) machine.

**Solution:**

Neha needs to stretch some sticks to 25² times their original lengths, but her (×25) machine is broken.

We have to find a hook-up of two repeater machines that will do the same work as a (×25²) machine.

A repeater machine is a hypothetical machine which automatically enlarges items several times.

We know that, when two machines are hooked up their stretching power is multiplied.

Stretching power = 25²

= 25 × 25

= 5 × 5 × 5 × 5

= 5² × 5²

Therefore, two repeater machines that will do the same work as a (×25²) machine are (× 5²) and (× 5²).

**✦ Try This: **Neela needs to stretch some sticks to 81² times their original lengths, but her (×81) machine is broken. Find a hook-up of two repeater machines that will do the same work as a (×81²) machine.

**☛ Also Check: **NCERT Solutions for Class 8 Maths Chapter 12

**NCERT Exemplar Class 8 Maths Chapter 8 Problem 162**

## Neha needs to stretch some sticks to 25² times their original lengths, but her (×25) machine is broken. Find a hook-up of two repeater machines that will do the same work as a (×25²) machine. To get started, think about the hookup you could use to replace the (×25) machine.

**Summary:**

Neha needs to stretch some sticks to 25² times their original lengths, but her (×25) machine is broken. A hook-up of two repeater machines that will do the same work as a (×25²) machine are (× 5²) and (× 5²).

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