Question

A rectangular football field has a length of 120 m and a breadth of 90 m. Players were asked to run from point A to point B along the dotted path. What distance did they run?​

Answer 1

Answer:

Step-by-step explanation:

This can be done by Pythagoras theorem

Answer 2

ANSWER-

Given;

• Length= 120m
• Breadth = 90m

Need to find:

• Distance between A to B=?

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$\huge{\underline{\underline{\red{SOLUTION-}}}}$

Clearly from the figure;

AB is the diagonal of the rectangle.

We know in a rectangle each angle is equal to 90°

Consider right angled triangle ABC

Thus;

${AB}^{2} = {BC}^{2} + {AC}^{2} \\ => {AB}^{2} = {90}^{2} + {120}^{2} \\ = > {AB}^{2} = 8100 + 14400 \\ = >AB = \sqrt{8100 + 14400} \\ = > AB = \sqrt{22500} \\ = > AB = 150m$

Thus while running from A-B ; the runners cover the distance of 150m

$\huge{\red{\boxed{\boxed{Answer=\:150m}}}}$