Question

The length of a rectangular field is 30m and it's diagonal is 34m. Find the breath of the field and it's perimeter

Answer 1

Hi friend
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your answer
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length of a rectangular field = 30 m

measure of the diagonal of the field = 34 m

breadth of the field =?

★ SOLVING BY PYTHAGORAS THEOREM
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(34)² = (30)² + (breadth)²

=> 1156 = 900 + (breadth) ²

=> (breadth)² = 1156 - 900

=> (breadth)² = 256

=> breadth = √256

=> breadth = 16 m

Now ,
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perimeter = 2( length + breadth)

=> 2×( 30+16)

=> 2× 46

=> 92 m

HOPE IT HELPS

#ARCHITECTSETHROLLINS

✯ BRAINLY STAR ✯

Answer 2

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The Measure of shorter side of the Rectangle is 16 m.

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

Diagonal of the Rectangular Garden = 34m

Longer side measures = 30m

To Find :

The Length of the shorter side of the garden.

Solution :

Refer the Attachment for the diagram.

By Pythagoras Theorum -

The Diagonal of the Rectangle is the Hypotenuse.

Measure of the shorter side is the Height.

The longer side (Length) is the Base

In ∆ ACD -

Hypotenuse = 34

Height = x

Base = 30

(Hypotenuse)² = (Base)² + (Height)²

⟶ (34)² = (30)² + (x)²

⟶ 1156 = 900 + x²

⟶ x² = 1156 - 900

⟶ x² = 256

⟶ x = √256

⟶ x = 16

Height = 16 m

∴ The Measure of shorter side of the Rectangle is 16 m.