Question

A rectangular field measures 45m by 30m. Draw a plan of the field, use measurement to find the distance between opposite corners of the field.

Answer 1

Answer and Explanation:

Given that,

Length of field = L = 45m

Breadth of field = B = 30m

Here,

Distance between opposite corners of the field = Diagonal of field

Using Pythagoras theorem we get,

L² + B² = Diagonal²

Diagonal = √(L² + B²)

Diagonal = √(45² + 30²)

Diagonal = √(2025 + 900)

Diagonal = √(2925)

Diagonal = 54.0832 m

Hence,

Distance between opposite corners of field = 54.0832 m

The adjoining figures shows the plan of the field

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Answer 2

$\bf{\underline\green{GIVEN:}}$

⇝ Length = 45 m

⇝ Breadth = 30 m

$\bf{\underline\pink{TO}}$$\bf{\underline\pink{FIND:}}$

⇝ The distance between opposite corners of the field.

$\bf{\underline\purple{Solution}}$

⇝ To find the distance between opposite corners = Diagnol of the field.

$\bf{\underline\green{FORMULA:}}$

$√(l \times l + b \times b)$

$⟹ \: √(45 \times 45 + 30 \times 30)$

$⟹ \: 54.0832$

⇝ Diagnol = 54.0832 m

⇝The distance between opposite corners of a field = 54.0832 m

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$\huge\bold\red{\underline{\underline{{★THANKS★}}}}$