The area of a rectangle is 48 square centimeters. if the length and width are each increased by 4 centimeters, the area of the larger rectangle is 120 square centimeters. find the dimensions of the orginial rectangle.

The dimensions of the original rectangle are 8 cm x 6 cm

Step-by-step explanation:

Let

x----> the length of the original rectangle

y----> the width of the original rectangle

we know that

The area of the original rectangle is

so

-----> equation A

If the length and width are each increased by 4 centimeters, the area of the larger rectangle is 120 square centimeters

so

-----> equation B

Substitute equation A in equation B

Multiply by y both sides

using a graphing tool------> solve the quadratic equation

I assume that the length is greater than the width

The solution is

see the attached figure

Find the value of x

The dimensions of the original rectangle are 8 cm x 6 cm

there are 25 people coming to the party

step-by-step explanation:

the text says that there will be 22 children at this party, 1 teacher, and 2 parents. so if you add them all together (22+1+2) it will equal 25. (=25)

a.for lorena 14 hours makes $126   for 16 hours she makes 144

for julie 6 hours makes $72 for 21 hours its $252

b. julie makes more money than lorena julie makes $12 an hour and lorena makes $9  

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