Answer:
4b2(b3+b+4)
Step-by-step explanation:
Answer:
98 in.^2
Step-by-step explanation:
The lateral area is the sum of the areas of the 3 rectangular sides.
The triangular sides are the bases.
lateral area = 7.2 in. * 5 in. + 3 in. * 5 in. + 9.4 in. * 5 in.
lateral area = 36 in.^2 + 15 in.^2 + 47 in.^2
lateral area = 98 in.^2
Yes, the two rectangles are similar, because rectangle 2 is a dilation of rectangle 1.
<h3>
Are the two rectangles similar?</h3>
We know that rectangle 1 has dimensions L and W.
And rectangle 2 is made by multiplying the dimensions of rectangle 1 by a factor k > 0.
Then, rectangle 2 is just a dilation of rectangle 1, this means that in fact, the two rectangles are similar by definition.
Then:
Dimensions of rectangle 1:
- Length = L
- Width = W.
- Perimeter = 2*(W + L)
- Area = W*L
For rectangle 2:
- Length = k*L
- Width = k*W
- Perimeter = 2*(k*L + k*W) = k*(2*(L + W))
- Area = (k*L)*(k*W) = k²(L*W)
Above we can see that the perimeter of rectangle 2 is k times the perimeter of rectangle 1, and the area of rectangle 2 is k squared times the area of the rectangle 1.
If you want to learn more about similar figures:
brainly.com/question/14285697
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Americo Vespuccio thought that lake Maracaibo looked like Venice because the aborigines who lived in the area built their houses on water. The aboriginal people called Añú have a tradition of living on water in houses made of magle wood.
<span>1 PIE = 0.3048 METROS, Saludos!</span>