MATHEMATICS MIDDLE SCHOOL

The width of a rectangular block of land is 2/7 of its length. If it’s perimeter is 252m, find it’s length.

Answers

Answer 1

Answer:

The length of the rectangular block of land is 98 m.

What is the perimeter of the rectangular block?

The perimeter of the rectangular block is given by following formula;

$\rm Perimeter \ of \ rectangular \ block= 2(Length + Width)\n\n$

Let l is the length of a rectangular block of land and w is the width of a rectangular block of land.

The width of a rectangular block of land is 2/7 of its length. If it’s perimeter is 252m, find it’s length.

The width of a rectangular block of land is 2/7 of its length.

w = (2/7) l

The width of the rectangular block of land is;

$\rm Perimeter \ of \ rectangular \ block= 2(Length + Width)\n\n 252=2(l+w)\n\n(252)/(2)=(2)/(7)l+l\n\n126= (2l+7l)/(7)\n\n 126= (9l)/(7)\n \n 9l =126* 7\n\n\rm 9l =882\n\n l =(882)/(9)\n\n l=98$

The width of the rectangular block of land is;

$\rm l = (2/7) w \n\nl =(2)/(7) * 98\n\nl=2 * 1 4\n\nl =28$

Hence, the length of the rectangular block of land is 98 m.

Learn more about perimeter here;

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Answer 2

Answer:

Answer:

Step-by-step explanation:

the perimeter is : p = 2(x+y)..... x : width y : length

you have the system ; 2(x+y) = 252.......(1)

x = (2/7) y ...........(2)

y > x ....(3)

Substitute x = (2/7) y into (1) and simplifiy and solve for y :

(2/7) y + y = 126

(2y+7y)/7 = 126

9y = 882

y = 98 m ( the length )

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A rectangle has an area of 100 cm². The base of the rectangle is 25 cm. What is the height of the rectangle? A) 4 cm b)10 cm c)76 cm D)2400 cm

Answers

Answer:

The answer is the option A

$h=4\ cm$

Step-by-step explanation:

we know that

The area of a rectangle is equal to

$A=bh$

where

b is the base

h is the height

In this problem we have

$A=100\ cm^(2)$

$b=25\ cm$

Substitute in the formula and solve for h

$100=25h$

Divide by $25$ both sides

$h=100/25=4\ cm$

Answer:

4cm

Step-by-step explanation:

100cm/25cm=4cm

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Answers

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Answers

Answer:

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Answers

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Answers

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