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Andrej [43]
2 years ago
12

The perimeter of a square rug is 104 cm. What is the area of the rug?

Mathematics
2 answers:
Crazy boy [7]2 years ago
7 0

Answer

Area of the rug is 64 in^2

Romashka [77]2 years ago
6 0

Answer:

676 cm²

Step-by-step explanation:

A square has 4 congruent sides , then

104 ÷ 4 = 26 cm ← length of side of square s

The area (A) of a square is calculated as

A = s² = 26² = 676 cm²

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<em>AC bisects ∠BAD, => ∠BAC=∠CAD ..... (1)</em>

<em>thus in ΔABC and ΔADC,    ∠ABC=∠ADC (given), </em>

<em>                                       ∠BAC=∠CAD      [from (1)],</em>

<em>AC (opposite side side of ∠ABC) = AC (opposite side side of ∠ADC), the common side between ΔABC and ΔADC</em>

<em>Hence,      by AAS axiom, ΔABC ≅ ΔADC,</em>

<em>Therefore,  BC (opposite side side of ∠BAC) = DC (opposite side side of ∠CAD),  since (1)</em>

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Hence, BC=DC proved.

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\bold{ANSWER:}

5•2/3

\bold{EXPLANATIONS:}

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