Geometry
A rectangle has an area of 66 meters squared. The width of the rectangle is 5 more meters than the length. Find the length and the width of the rectangle.
Length=6 w=11
he length of a rectangular sheet of paper is 1 centimeter more than twice its width, and the area of the rectangle is 55 square centimeters. Find the width and length of the rectangle.
The length of the paper is 11 cm and the width is 5 cm.
The sides of a triangle are represented by the expressions 5x2 +4, 8x2 – 2x, and 9x + 7. Write the simplest expression.
13x2+7x+11
The area of rectangle is 3n2 - 7n + 2. Find the two sides of the rectangle.
2 1/3
X+xy+3x+2y+6
(X+2)(y+3)
A rectangle has an area of 30. The width of the square is x+2 was and the length is x+1. find the length and the width of the rectangle
x=4. Length 5 width: 6
The area of a room is 396 square feet. The length is (x+3) and the width is (x+7) feet. Find x
x=15
In a writing contest Bob gives Lena a 54 words head start. After t seconds, Lena has written 6t + 54 from the first page and Bob is a page of 7t from the first. How far ahead of Bob is Lena after t seconds?
-t + 54 m
The area of land is y2 + 16 - 8y. Find its perimeter
16
16x^2+12x
4x(4x+3)
The perimeter of a rectangle is 44 inches, and its area is 120 square inches. Find the width and length of the rectangle.
l=10 w=12
You are planning a pool its length is twice the width and the area of the pool is 288 square meters find the width of the pool.
w= 12 l=24
A circular field has an area of 9– 2x2. There are two rectangular fountains 4x2, 6x2 in the courtyard. Find the expression for the green lawn area.
9 -12x2
Find the value of the k so that the trinomial 9a2 + kab - 4b2 can be factorized
K= - 12
4x^5+8x^4+4x^3
4x^3(x2+2x+1)
Suppose that a square and a rectangle have equal areas. Furthermore, suppose that the length of the rectangle is twice the length of a side of the square, and the width of the rectangle is 4 centimeters less than the length of a side of the square. Find the dimensions of both figures.
The side of the square is 8 cm, and the dimensions of the rectangle are 16 x 4 cm.
An apple orchard contains 84 trees. The number of trees per row is 5 more than the number of rows. Find the number of rows.
The orchard has 7 rows.
You ordered some eatables. If c represents the cost of one cookie and p is the cost of one pizza. Write an expression for the total cost of 14 cookies and 10 pizzas.
14c + 10p
The volume of the cube is 1716. If the sides of the cube are consecutive positive integers, find the sides of the cube.
11, 12, 13
4x^2-20x+3xy
(4x-36)(x+5)
Suppose that a square and a rectangle have equal areas. Furthermore, suppose that the length of the rectangle is twice the length of a side of the square, and the width of the rectangle is 4 centimeters less than the length of a side of the square. Find the dimensions of both figures.
The side of the square is 8 cm, and the dimensions of the rectangle are 16 x 4 cm.
A rectangular plot is 6 meters longer than it is wide. The area of the plot is 16 square meters. Find the length and width of the plot.
The dimensions of the plot are 2 x 8 m.
The sides of a triangular sheet are represented by the expressions 2x2 + 4, 5x2 – 4x, and x + 8. Write the simplest expression.
7x2-3x+12
Volume of the box is 3315. Find the sides of the box, if the sides are three consecutive odd numbers.
13, 15, 17
X^3-5x^2+3x
(X^2)(x+5)