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mart [117]
3 years ago
7

The length of a rectangle is 7 centimeters greater than the width. If 4 centimeters are added to both the length and the width,

the new area would be 98 square centimeters. Find the dimensions of the ORIGINAL rectangle, list the SMALLER dimension first.
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
3 0

Answer:

  3 cm by 10 cm

Step-by-step explanation:

Assuming the new dimensions are integers, we can look at the factors of 98 to see what they might be.

  98 = 1·98 = 2·49 = 7·14

The latter two factors differ by 7, so are the dimensions after 4 is added. The original dimensions are ...

  7 - 4 = 3 . . . . cm

  14 -4 = 10 . . . . cm

The dimensions of the original rectangle are 3 cm by 10 cm.

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Katie gives Maggie half of her pencils. Maggie keeps 5 and gives the rest to jamil. Write an expression for the number of pencil
Inga [223]

Answer

Write an expression for the number of pencils Maggie gives to jamil.

To prove

Let us assume that the number of pencils Katie have = x

As given

Katie gives Maggie half of her pencils.

Katie\ gives\ Maggie\ half\ of\ her\ pencils = \frac{1x}{2}

As given

Maggie keeps 5 and gives the rest to jamil.

Thus

Number\ of\ pencils\ Maggie\ gives\ to\ jamil = \frac{1x}{2} - 5

Therefore the expression for the number of pencils Maggie gives to jamil are  \frac{1x}{2} - 5.





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Can 18 feet and 5 yards be expressed as a ratio in simplest form
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The first side of a triangle is 3 inches shorter than the second side, and 2 inches longer than the third side. How long is each
ziro4ka [17]

Answer:

the length of the first side of the triangle is \frac{28}{3}\ in

the length of the second side of the triangle is \frac{37}{3}\ in

the length of the third side of the triangle is \frac{19}{3}\ in

Step-by-step explanation:

Let

x-----> the length of the first side of a triangle

y----> the length of the second side of a triangle

z---> the length of the third side of a triangle

we know that

x=y-3

y=x+3 -----> equation A

x=z+3

z=x-3  -----> equation B

The perimeter of the triangle is equal to

P=x+y+z

P=28\ in

so

28=x+y+z -----> equation C

substitute equation A and equation B in equation C

28=x+(x+3)+(x-3)

solve for x

28=3x

x=\frac{28}{3}\ in

Find the value of each side

the first side of a triangle is x

x=\frac{28}{3}\ in

the second side of a triangle is y

y=\frac{28}{3}+3=\frac{37}{3}\ in

the third side of a triangle is z

z=\frac{28}{3}-3=\frac{19}{3}\ in

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