the perimeter of the rectangle is 120 feet. If the length of the rectangle is ten feet more than the width ,what are the dimensi
ons (length and width) of the rectangle?
1 answer:
Hello from MrBillDoesMath!
Answer:
L = 35, W = 25
Discussion:
The attachment shows that
P = 2L + 2W = 120
and
L = 10 + W
2L + 2W = 120 => Substitute the last equation into the first one
2(10 + W) + 2W = 120 =>
20 + 2W + 2W = 120 => combine like terms
20 + 4W = 120 => subtract 20 from both sides
4W = 120 -20 = 100 => divide both sides by 4
W = 100/4 = 25
Hence, L = 10 + W = 10 + 25 = 35
Thank you,
MrB
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Given:
Triangles FRI and DAY are similar.
To find:
Similarity ratio
Solution:
<em>If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.</em>
Here, FR and DA are corresponding sides.
Cancel the common factors of 4 and 6, we get
⇒ FR : DA = 2 : 3
⇒ ΔFRI : ΔDAY = 2 : 3
Similarity ratio of the first triangle to the second triangle is 2 : 3.