Answer:
225 inches²
Step-by-step explanation:
Let the length be l and width be w
Condition 1
2l+2w=68 (Perimeter=68)--------(i)
Condition 2
l=3w-2 ---------(ii)
Putting equation (ii) in (i)
2(3w-2)+2w=68
6w-4+2w=68
8w-4=68
8w=68+4
8w=72
dividing both sides by 8
w=9 inches
now putting w=9 in (ii)
l=3(9)-2
l=27-2
l=25 inches
Now
Area of rectangle = l × w
=9 × 25
=225 inches²
Point X location is at 76/100=0.76
the answer is the option C) 0.76
Answer:
21 cm
Step-by-step explanation:
Call the triangle ABC, with the right angle at B, the hypotenuse AC=25, and the given leg AB=10. The altitude to the hypotenuse can be BD. Since the "other leg" is BC, we believe the question is asking for the length of DC.
The right triangles formed by the altitude are all similar to the original. That means ...
AD/AB = AB/AC . . . . . . ratio of short side to hypotenuse is a constant
Multiplying by AB and substituting the given numbers, we get ...
AD = AB²/AC = 10²/25
AD = 4
Then the segment DC is ...
DC = AC -AD = 25 -4
DC = 21 . . . . . centimeters