---
id: 5900f4881000cf542c50ff9a
title: >-
  Problem 283: Integer sided triangles for which the area / perimeter ratio is integral
challengeType: 1
forumTopicId: 301934
dashedName: >-
  problem-283-integer-sided-triangles-for-which-the-area--perimeter-ratio-is-integral
---

# --description--

Consider the triangle with sides 6, 8 and 10. It can be seen that the perimeter and the area are both equal to 24.

So the $\frac{\text{area}}{\text{perimeter}}$ ratio is equal to 1.

Consider also the triangle with sides 13, 14 and 15. The perimeter equals 42 while the area is equal to 84.

So for this triangle the $\frac{\text{area}}{\text{perimeter}}$ ratio is equal to 2.

Find the sum of the perimeters of all integer sided triangles for which the area/perimeter ratios are equal to positive integers not exceeding 1000.

# --hints--

`integralAreaPerimeterRatio()` should return `28038042525570324`.

```js
assert.strictEqual(integralAreaPerimeterRatio(), 28038042525570324);
```

# --seed--

## --seed-contents--

```js
function integralAreaPerimeterRatio() {

  return true;
}

integralAreaPerimeterRatio();
```

# --solutions--

```js
// solution required
```
