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2 years ago

Look at the rectangle and the square:

Mathematics

2 answers:

OlgaM077 [116]2 years ago

5 0

Answer:

Sam is incorrect

Step-by-step explanation:

We can calculate the lengths of the diagonals using Pythagoras' identity.

The diagonals divide the rectangle and square into 2 right triangles.

Consider Δ SRQ from the rectangle

SQ² = SR² + RQ² = 12² + 6² = 144 + 36 = 180 ( take square root of both sides )

SQ = $\sqrt{180}$ ≈ 13.4 in ( to 1 dec. place )

Consider Δ ONM from the square

OM² = ON² + NM² = 6² + 6² = 36 + 36 = 72 ( take square root of both sides )

OM = $\sqrt{72}$ ≈ 8.5 in ( to 1 dec. place )

Now 2 × OM = 2 × 8.5 = 17 ≠ 13.4

Then diagonal OM is not twice the length of diagonal SQ

DochEvi [55]2 years ago

4 0

Answer: Sam is correct

Step-by-step explanation:

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3 years ago

Solve for t 2t^2-14t+3=3

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Step-by-step explanation:

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Simpilfy

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2 years ago

The length of a rectangle is three times it’s width. The perimeter of the rectangle is 100 inches. What are the dimensions of th

BabaBlast [244]

Answer:

let the width be x inches

then the length would be 3x inches

perimeter of rectangle = p = 2(l+b)

100= 2(3x+x)

100= 2(4x)

100=8x

x=100/8

x=12.5 inches

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Step-by-step explanation:

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