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The area of a rectangular field is 48 m² and one of its sides is 6m. How long will a lady take to cross the field diagonally at the rate of 20 m/minute?

Solution:

Area of a rectangular field is = Length × breadth

= length × 6

Area = 48m²

Therefore,

48 = length × 6

Length = 48/6m = 8m

Since the two sides are 6m and 8m and they are at right angles to each other the third side forms the diagonal of the rectangle.the diagonal can be found by using the pythagorean theorem:

(Length of diagonal)² = 8² + 6²

(Length of diagonal)² = 64 + 36 = 100 m²

Length of diagonal = √100

Length of diagonal = 10m

Time taken to cross the field diagonally = 10/20 = 1/2 minute

✦ Try This: The area of a rectangular field is 192 m² and one of its sides is 12 m. How long will a lady take to cross the field diagonally at the rate of 20 m/minute?

Area of a rectangular field is = Length × breadth

= length × 8

Area = 192m²

Therefore,

192 = length × 12

Length = 192/12 m = 16m

Since the two sides are 16m and 12m and they are at right angles to each other the third side forms the diagonal of the rectangle.the 20mdiagonal can be found by using the pythagorean theorem:

(Length of diagonal)² = 16² + 12²

(Length of diagonal)² = 256 + 144 = 400 m

Length of diagonal = √400

Length of diagonal = 20m

Time taken to cross the field diagonally = 20/20 = 1 minute

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 11

NCERT Exemplar Class 8 Maths Chapter 11 Problem 62

The area of a rectangular field is 48 m² and one of its sides is 6m. How long will a lady take to cross the field diagonally at the rate of 20 m/minute?

Summary:

The area of a rectangular field is 48 m² and one of its sides is 6m. Time taken by the lady to cross the field diagonally at the rate of 20 m/minute is 1/2 a minute

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