Tess saids this shape is a rhombus. Jack says the shape is a square. Who is correct?
1 answer:
Tess and Jack are both correct with their claims
<h3>How to determine who is correct?</h3>The attached image completes the question
From the complete question, we have the following highlights
- The shape has equal side lengths
- The angles at the vertices of the shape are right angles
The above properties represent a square
A rhombus can also have the above properties when the vertices are at 90 degrees
Hence, Tess and Jack are both correct with their claims
Read more about squares and rhombus at:
#SPJ1
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Let, the length be l and breadth be b.
So, 2(l + b) = 26
Or, l + b = 13
Or, l = 13 - b
So, we may write like this,
Area = l * b
Or, l * b > 30
Or, l (13 - l) > 30
Or, 13l - l^2 > 30
Or, l^2 - 13l + 30 > 0
Or, l^2 - 3l - 10l + 30 > 0
Or, l(l - 3) - 10(l - 3) > 0
Or, (l - 3)(l - 7) > 0
Or, l - 7 > 0
Or, l > 7.
Now, putting the value of l,
We get, l * b > 30
Or, 7 * b > 30
Or, b > 30/7
➡️ Therefore, we get,
Length > 7
Breadth > 30/7
That's it..