Math, asked by aburewatkar9246, 1 year ago

Ok rambus perimeter 52cm and diagnal 24cm then area how much

Answers

Answered by ArchitectSethRollins
0
Hi friend ✋✋✋✋
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Your answer
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Perimeter of a rhombus = 52 cm

Measure of each side of the rhombus = 52/4 cm = 13 cm

Measure of one of the diagonals of the rhombus = 24 cm

Let the measure of another diagonal be x.

Then,
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(x/2)² + (24/2)² = (13)²

=> x²/4 + (12)² = 169

=> x²/4 + 144 = 169

=> x²/4 = 169 - 144

=> x² = 25 × 4

=> x² = 100

=> x = √100

=> x = 10 cm

Therefore,

Measure of the other diagonal of the rhombus = 10 cm

So,
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Area of the rhombus = 1/2 × diagonal 1 × diagonal ×2

= [ 1/2 × 24 × 10] cm²

= 120 cm²

HOPE IT HELPS
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