The Ward family is redecorating several rooms of their house. angelique wants to have a rug that is 9 feet long and 7 feet wide in her bedroom. the rug will cover the whole floor except a border that is x feet wide. the area of her room is 167 square feet. find the width of the border, x. round the answer to the nearest tenth of a foot.

Question

31-03-2018
Mathematics

contestada

The Ward family is redecorating several rooms of their house. angelique wants to have a rug that is 9 feet long and 7 feet wide in her bedroom. the rug will cover the whole floor except a border that is x feet wide. the area of her room is 167 square feet. find the width of the border, x. round the answer to the nearest tenth of a foot.

Respuesta :

Otras preguntas

In which of the following sentences is the word running used to show action?Eloise loves running.Peter misses running and jumping; his ankle is still broken.Jos

How do you say “Paco and Luis are intelligent” in Spanish? A. Paco y Luis es inteligente. B. Paco y Luis somos inteligentes. C. Paco y Luis son inteligent

The ________ theory of emotion states that the experience of emotion occurs simultaneously with biological changes.

Kyle has been hired to decorate a ballroom for a special event. To decorate the ballroom, he needs 300 balloons. The balloons come in packages of 25. Kyle alrea

PLZ HURRY!! why did the British focus their war effort in the South? 1.They were more familiar with the terrain of the South 2.They believed the Southern coloni

f(x)=x^2 -3x-8 solve using the quadratic formula

what type of attitude or behavior is least likely to give into negative peer pressure

John would like to move from the city into the suburbs and has been saving up a large down payment for a home. Which is the most cost effective way for John to

Why has the target rate for unemployment increased over the past 40 years?

Three years ago, Claire borrowed money from her father to pay for a class trip. She agreed to pay 6% simple annual interest on the loan. Now she owes him $90 in

RELAXING NOICE

MrEquation MrEquation · Answer 1 · 2018-04-10T02:05:39+02:00

The width of the border will be about 2.5 feet.

The area of the rug is 9 by 7. Let's call the width of the border x. Therefore, the length of the rug will switch to 9 + 2x. The border is on both sides of it, so we add on 2x. Then, the width is 7 + 2x.

The area of the room is therefore: (9 + 2x)(7+ 2x).

We know the area of the room, so we can write and solve the following equation.

(9 + 2x)(7 + 2x) = 167
4x^2 + 32x + 63 = 167
4x^2 + 32x - 107 = 0

At this point, use the quadratic formula and x will equal about 2.5.