### What Sides of a rectangle give perimeter equal to to area?

perimeter = 2 x (width + length) area = width x length If area = perimeter then: width x length = 2 x width + 2 x length width x length - 2 x length = 2 x width length x (width - 2) = 2 x width length = 2 x width / (width - 2) So any rectangle with length and width that satifies the above will work, for example: width = 2.5…

### How do you calculate the top dimensions of a rectangle if you know its perimeter and bottom area?

Important to note are these formulae: Perimeter_of_rectangle = 2 x (length + width) Area_of_rectangle = length x width So if the perimeter and area are known, then: 2 x (length + width) = perimeter => length + width = perimeter / 2 => length = perimeter / 2 - width length x width = area => (perimeter / 2 - width) x width = area (substituting for length given above) => perimeter / 2 x…

### Is it sometimes always or never true that the perimeter of a rectangle is greater than the area?

It depends on the length and width... The smaller of the length and the width, the perimeter is greater than the area... But.. The bigger of the length and width, the area is greater than the perimeter. example : length = 5 , width = 2 AREA = 5 x 2 = 10 Perimeter = 2 x ( 5 + 2 ) = 14 example : length = 9 , width = 6 AREA =…

### How do you hang cabinets on metal studs -- need to install base and wall cabinets in an office that has metal stud walls and a drop ceiling?

The correct way is to install a 2x 6 backer plate between the studs where the cabinets are to be hung. If there is not one there you can tear out the drywall and install one. However the base cabinets can be attached using metal drywall screws or lag bolts. Since the countertop will put weight on these they really wont go anywhere, the wall cabinets are the main concern. you can try to use…

### What are the dimensions of a rectangle with length 5 in longer than its width which has 1 inside squares cut from the corners and the flaps folded up to form an open box of volume 500 cu in?

It is 22 in by 27 in. ------------------------------------------- How it is solved: The rectangle is 5 in longer than its width, so the dimensions can be given in terms of its width: Its dimensions are width by (width+5) In removing 1 inch squares from the corners, he flaps are going to be (width-2) and (width+5-2) = (width-3) long. Thus the box formed will have volume: volume = (width - 2) in ร (width + 3)…

### The length of a rectangle is 3 more than twice its width The perimeter is 84 feet what is the width?

### A certain rectangle has a width that is half the difference of the length and 6 cm If the Perimeter of the rectangle is 87 cm what is the length and width of the rectangle?

Algebra works great here. Let's use three variables: P for perimeter, L for length and W for width. Then we can rewrite the above in terms of math: W = (1/2)(L - 6) <-- Two parentheses together means multiply P = 87 But what is the perimeter in terms of the length and width? Two lengths and two widths, or: P = 2L + 2W Now let's use substitution. We know what the width is…