# Ramesh grew wheat in a rectangular field that measured 32 metres long and 26 metres wide. This year he increased the area for wheat by increasing the length but not the width. He increased the area of the wheat field by 650 square metres. What is the length of the expanded wheat field?

**Solution:**

Ramesh grew wheat in a rectangular field.

Given, the field measures 32 m long and 26 m wide.

This year he increased the area for wheat by increasing the length but not the width.

He increased the area of the wheat field by 650 m² .

We have to find the expanded length of the wheat field.

__Area of rectangle__ = length × width

Considering initial rectangular field,

Length = 32 m

Width = 26 m

Area = 32 × 26

= 832 m²

Given, increase in area after expanding the length = 650 m²

Increase in area = area of field after expanding the length - area of initial rectangular field

650 = expanded length × 26 - 832

650 + 832 = expanded length × 26

1482 = expanded length × 26

Expanded length = 1482/26

= 741/13

= 57 m

Therefore, the expanded length is 57 m.

**✦ Try This:** Rakesh grew rice in a rectangular field that measured 64 metres long and 39 metres wide. This year he increased the area for rice by increasing the length but not the width. He increased the area of the rice field by 720 square metres. What is the length of the expanded rice field?

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 11

**NCERT Exemplar Class 7 Maths Chapter 9 Problem 121**

## Ramesh grew wheat in a rectangular field that measured 32 metres long and 26 metres wide. This year he increased the area for wheat by increasing the length but not the width. He increased the area of the wheat field by 650 square metres. What is the length of the expanded wheat field?

**Summary:**

Ramesh grew wheat in a rectangular field that measured 32 metres long and 26 metres wide. This year he increased the area for wheat by increasing the length but not the width. He increased the area of the wheat field by 650 square metres. The length of the expanded wheat field is 57 m.

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