The width of a rectangle is y feet long. The rectangle is 4 feet longer than it is wide. What is the area of the rectangle?

Mathematics

2 answers:

Leni [432]3 years ago

8 0

Answer:

Area is 4 + y²

Step-by-step explanation:

Area of rectangle = Length × Width

Width - y feet

Length - 4 + y feet

4 + y × y = 4 + y²

mario62 [17]3 years ago

4 0

Answer:

if breadth is y feet long

let length be y+4

Step-by-step explanation:

therefore,

area=(4+y)*y

area=4y+y2

You might be interested in

Norman weighed his loaded truck of apples at a weigh station. It weighed 15 tons 100 lbs. His empty truck weighed 3 tons 200 lbs

Andreas93 [3]

11 tons, 1,900 lbs. (or you could say 23,900 lbs, it's the same)

1 ton equals 2000 lbs.
15 tons 100 lbs = 30,100 lbs
3 tons 200 lbs = 6,200 lbs.
30,100 - 6,200 = 23,900

3 0

2 years ago

Read 2 more answers

Your task is to build a road joining a ranch to a highway that enables drivers to reach the city in the shortest time. The perpe

lubasha [3.4K]

Answer:

(a)In the attachment

(b)The road of length 35.79 km should be built such that it joins the highway at 19.52km from the perpendicular point P.

Step-by-step explanation:

(a)In the attachment

(b)The distance that enables the driver to reach the city in the shortest time is denoted by the Straight Line RM (from the Ranch to Point M)

First, let us determine length of line RM.

Using Pythagoras theorem

$|RM|^{2}=30^2+x^2\\|RM|=\sqrt{30^2+x^2}$

The Speed limit on the Road is 60 km/h and 110 km/h on the highway.

Time Taken = Distance/Time

Time taken on the road $=\frac{\sqrt{30^2+x^2}}{60}$

Time taken on the highway $=\frac{50-x}{110}$

Total time taken to travel, T $=\frac{\sqrt{30^2+x^2}}{60}+\frac{50-x}{110}$

Minimum time taken occurs when the derivative of T equals 0.

$T^{'}=\frac{x}{60\sqrt{30^2+x^2}}-\frac{1}{110}\\\frac{x}{60\sqrt{30^2+x^2}}-\frac{1}{110}=0\\\frac{x}{60\sqrt{30^2+x^2}}=\frac{1}{110}\\110x=60\sqrt{30^2+x^2}\\$

Square both sides

$12100x^2=3600(30^2+x^2)\\12100x^2=3240000+3600x^2\\12100x^2-3600x^2=3240000\\8500x^2=3240000\\x^2=\frac{3240000}{8500} =381.18\\x=\sqrt{381.18} =19.52$