Dave runs a 10km race and beats his best time by 5%.
1 answer:
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Solution:
Given PRQ is a triangle.
ST is a line parallel to RQ.
<u>Triangle proportionality theorem,</u>
<em>If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.</em>
Do cross multiplication, we get
Divide by 2x on both sides, we get
Let's call the width of our rectangle and the length
. We can say
, since the length is equal to 4 cm greater than the width.
Also remember that the perimeter of a rectangle is the sum of two times the width and two times the length, or . To solve this problem, we can substitute in the information we know, as shown below:
Now, we can substitute in the width we found into the formula for length, which is :
The width of our rectangle is cm and the length of our rectangle is