All categories

3 years ago

The length of a rectangle is 24 more than its width. Find the area of the rectangle if its perimeter is 100 cm.

Mathematics

1 answer:

Serggg [28]3 years ago

4 0

Answer:

481

Step-by-step explanation:

Lets say width = x

Length = x+24

Perimeter is 100 so

100=x+24+x+24+x+x

100=4x+48

100-48=4x

52=4x

x=13

So width = 13

Length = 37

37x13=481

You might be interested in

A picnic table was originally priced at 40, but Megan waited to buy the picnic table on sale from 75% off. If she paid 10% sale

Mila [183]

Answer:

she spent total price of 13 on the picnic table

Explanation: 

Original price of the table = 40

Since she paid 10% of the sale tax after the sale then the total amount she spend is

Discount = (discount percentage – sale tax ) × original price

= (75% -10%) × 40

= 65 % ×40

= $\frac{65}{100} \times 40$

=26

Hence after the discount amount

Original price – discount price

= 40-26 = 13

Hence she spent total price of 13 on the picnic table

8 0

3 years ago

Lena will use 7 cups of apples to make 4 batches of applesauc. Which expression shows the number of cups of apples in each batch

astraxan [27]

Answer: 1 3/4 cups of apples in each batch

Step-by-step explanation:

STEP 1

Writing out the equation to represent if 7 cups of apples make 4 batches One batch is as a result of how many cups of apples

LET x be number of cups of apples to make each batch

7 cups of apples = 4 Batches

x cups of apples = 1 Batch

STEP 2 Solving by cross multiplication

1 batch x 7 cups of apples = 4 batches X x cups of apples

x cups of apples=1 batch x 7 cups of apples / 4batches

x = 7 / 4 = 1 3/4

number of cups of apples to make each batch= 1 3/4

8 0

3 years ago

Two sides of a triangle are equal in length and double the length of the shortest side. The perimeter of the triangle is 36 inch

Lostsunrise [7]

To solve this, you can set up an equation. Make the length of the shortest side x, so the 2 sides double the length will equal 2x. Since they all equal the perimeter of 36, do x + 2x + 2x =36. These values all represent the sides(2 longer, one short). Combine like terms to get 5x=36 then divide by 5 to find the value of x. x=7.2in meaning the shorter side is 7.2 inches while the longer sides are both 14.4 inches each since they are double in size.

3 0

3 years ago

Suppose there is this little town with a finite number of people: (1) No two inhabitants have exactly the same number of hairs.

Vadim26 [7]

The highest possible number of inhabitants in that little town are 743.

<h3>What are inhabitant?</h3>

A person or animal that lives in a place is called as the inhabitant.

Suppose there is this little town with a finite number of people: (1) No two inhabitants have exactly the same number of hairs. (2) No inhabitant has exactly 743 hairs or no hairs at all. (3) There are more inhabitants than there are hairs on the head of any inhabitant.

Let say there are 519 people in the town. and make them stand in a line with increasing number of hairs on their heads. This way, there will be a person on the last, who has no hair.

There are more number of people than the hairs. From bald to 742 hairs, 743 is the limit.

Thus, the highest possible number of inhabitants in that little town are 743.

Learn more about inhabitant.

brainly.com/question/15121341

#SPJ1

5 0

2 years ago

Expand 3(n+6) This for the test

MrRa [10]

Step-by-step explanation:

expanded = 3n + 18

plz mark my answer as brainlist plzzzz if you find it useful ☺️.

8 0

2 years ago