The area of a rectangle is 72 cm². The length of the rectangle is 6 cm longer than the width.

1 answer:

muminat2 years ago

8 0

Area =72 sq. cm

length = x+6

Width = x

l×b = Area
(x+6)x =72
x2 +6x=72
x2+6x-72=0
x2+12x-6x-72=0
x (x+12) -6 (x+12)=0
(x+12) ( x-6) =0
x=-12, x=6

since width can't be negative , the answer is x=6.

therefore, the width is 6cm

You might be interested in

During a month, the average temperature in day time of a placewas 430C. The average temperature during night was recorded to be

klasskru [66]

Answer:

Difference between average day temperature and average night temperature = 70°

Step-by-step explanation:

Given;

Average day temperature = 43° C

Average night temperature = -30° C

Find:

Difference between average day temperature and average night temperature

Computation:

Difference between average day temperature and average night temperature = Average day temperature - Average night temperature

Difference between average day temperature and average night temperature = 43 - (-30)

Difference between average day temperature and average night temperature = 70°

7 0

2 years ago

olasank [31]

I think it is 2.7% ....

7 0

2 years ago

. The angle measures of a triangle are shown in the diagram. What is the value of x?

vodka [1.7K]

Answer:

ok the second one the answer is 66

Step-by-step explanation:

we get that x=180/48/2=66 hope this helps I wanted to help you just for a thx

6 0

3 years ago

The variable Z is directly proportional to X. when X is 15, Z has the value of 45. what is the value of Z when X=23

IrinaVladis [17]

$If\ Z\ is\ directly\ proportional\ to\ X\ then\ \frac{Z}{X}=const.\\------------------------\\X=15\ and\ Z=45\\\\X=23\ and\ Z=?\\\\\frac{Z}{23}=\frac{45}{15}\to\frac{Z}{23}=3\ \ \ \ |multiply\ both\ sides\ by\ 23\\\\\huge\boxed{Z=69}$

8 0

3 years ago

Laura pays $36.04 for a ticket to a show. The amount includes a 6% tax.

Len [333]

The answer is C. $34.00

6 0

2 years ago

Read 2 more answers