A rectangle has an area of 864 square centimeters and a length of 24 centimeters. What is the width of the rectangle?
2 answers:
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Answer:
The ratio of the areas of the smaller rectangle to the larger rectangle is
Step-by-step explanation:
we know that
if two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z-----> the scale factor
x-----> the area of the smaller rectangle
y----> the area of the larger rectangle
so
substitute the values
simplify
That means, the area of the larger rectangle is 9 times the area of the smaller rectangle
------> the scale factor
That means, the dimensions of the larger rectangle is 3 times the dimensions of the smaller rectangle
Answer:
Surface area of the reflective glass is 543234.4 square feet.
Step-by-step explanation:
Given that: height = 311 feet, sides of square base = 619 feet.
To determine the slant height, we have;
=
+
= 96721 + 95790.25
= 192511.25
⇒ l =
= 438.761
The slant height, l is 438.8 feet.
Considering one reflecting surface of the pyramid, its area = × base × height
area = × 619 × 438.8
= 135808.6
= 135808.6 square feet
Since the pyramid has four reflective surfaces,
surface area of the reflective glass = 4 × 135808.6
= 543234.4 square feet