The formula for perimeter is:
<span>P = 2 h + 2 w</span>
where P is perimeter = 120 cm, h is height, w is width
we are also given that: h = (2/3) w, therefore:
P = 2 (2/3) w + 2 w = 120
(4/3) w + 2 w = 120
w = 36 cm
Therefore l is:
l = (2/3) w = 24 cm
<span>Hence the dimension should be 24cm by 36 cm</span>
The length and width of a new rectangle playing field are 214 yards and 52 yards respectively.
<h3>What is the area of the rectangle?</h3>
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
We have:
The length of a new rectangle playing field is 6 yards longer than quadruple the width.
Let's suppose the length is l and width is w of a rectangle:
From the problem:
l = 6 + 4w
Perimeter P = 2(l + w)
532 = 2(l + w)
Plug l = 6+4w in the above equation:
532 = 2(6 + 4w + w)
266 = 6 + 5w
260 = 5w
w = 52 yards
l = 6 +4(52) = 214 yards
Thus, the length and width of a new rectangle playing field are 214 yards and 52 yards respectively.
Learn more about the area of rectangle here:
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Answer:
B & C
Step-by-step explanation:
Use the Pythagorean Theorem: a^2 + b^2 = c^2
A) 18^2 + 24^2 = 2,088 | 42^2 = 1,764 [NOT A]
B) 33^2 +56^2 = 4,225 | 65^2 = 4,225 [B IS CORRECT]
C) 19^2 + 180^2 = (32,761) = 181^2 = (32,761) [C IS CORRECT]
D) 3^2 + 4^2 = 25 | 7^2 = 49 [NOT D]
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Answer:
Step-by-step explanation:
A. The measure of RS
As both polygons are similar, corresponding sides will be same
