LMNP is a rectangle. Find the value of x and the length of each diagonal. LN=2x+25 and MP=6x−7
2 answers:
Answer: The value of x is 8.
Length of LN = 2(8)+25 = 16+25 = 41 units.
Length of MP = 6(8)-7 = 48-7 = 41 units.
Step-by-step explanation:
As we know that
Diagonals of rectangle is equal to each other.
LN = 2x+ 25
MP = 6x - 7.
According to above statement, we have that
LN = MP
Hence, the value of x is 8.
Length of LN = 2(8)+25 = 16+25 = 41 units.
Length of MP = 6(8)-7 = 48-7 = 41 units.
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Answer:
Perimeter of the paperboard that remains after the semicircle is removed = 94.26 in
Step-by-step explanation:
Watch the attached figure of how the semi circle is cut out of the rectangular paperboard.
Length = 24 in
Width = 18 in
Radius of the semi circle = Half of the width of the paperboard = = 9 in
1) Circumference of the semi circle = π*radius
= 3.14*9
= 28.26 in
2) Perimeter of the paperboard that remains after the semicircle is removed
= Top + Left + Bottom + Right Circumference of the semi circle
= 24 + 18 + 24 + 28.26
= 94.26 in
