# math

a figure is made up of a big square and 4 smaller identical squares. The area of the whole figure is 980 square inches. What is the unknown length?

1. 👍
2. 👎
3. 👁
1. Just solve for length.

L=a/w

Either that or you gave too little detail.

1. 👍
2. 👎
2. is there a width provided?

1. 👍
2. 👎
3. no width was given

1. 👍
2. 👎
4. side of large square --- x
side of smaller square ---- y
x^2 + 4y^2 = 980
x^2 = 980 - 4y^2
x = √(980 - 4y^2)

so 980 - 4y^2 > 0
4y^2 < 980
y^2 < 245
0 < y < appr 15.65 -----> 0 < x < appr 31.3

e.g. suppose y = 7, then x = √(980 - 4(49)) = 28

one large square of 28 by 28, and 4 smaller squares of 7 by 7

1. 👍
2. 👎

## Similar Questions

1. ### Math (help if you know the full test)

1) Write a ratio and a percent for the shaded area. An image of a square divided evenly into 16 smaller squares is shown. 5 of the smaller squares are shaded grey. A) 1/5, 25% B) 5/16, 31.25 C) 1/4, 20% D) 1/4, 25%

2. ### algebra

wHeN closed,an entertainment center is mAdE of four square panels.the TiRed smaller panels aRe Congruent squares.wHaT is the scale factor of the larger square to the smaller squares?

3. ### math ~dont know all but check some~ pls help!!!

1. Draw a model to represent the polynomial x2 + 2x + 4. (1 point) 1 big square, 1 tall rectangle, 4 little sqaures 1 big square, 2 tall rectangles, 4 little sqaures in the shape of an "L" 2 big sqaures, 4 little squares none of

4. ### Mathematics

An open box is made from a square piece of sheet metal 19 inches on a side by cutting identical squares from the corners and turning up the sides. Express the volume of the box, V, as a function of the length of the side of the

1. ### math

A box with a square base and no top is to be made from a square piece of cardboard by cutting 4-in. squares from each corner and folding up the sides, as shown in the figure. The box is to hold 324 in3. How big a piece of

2. ### Polynomials

Write and simplify the polynomial represented by the model. (Model shows: 3 big blank squares, 2 long black rectangles, 3 small blank squares, 1 big black square, 6 small black squares) a. -2x^2 + 2x + 3 b. 2x^2 - 2x - 3 c. 3x^2 -

3. ### calc volumes

the basse of a solid S is the region enclosed by the graph of y=square root (ln x), the line x=e, and the x-axis. if the cross sections of S perpendicular to the x-axis are squares, then the volume of S is. how do i find the side

4. ### math

A square 4 inches on a side is cut up into smaller squares 1 inche on a side. What is the maximum number of such squares that can be formed?

1. ### Math

Two squares are drawn. The larger square has area of 400 square inches. The areas of the two squares have a ratio of 1 : 4. What is the side length s of the smaller square?

2. ### college algebra

An open box is made from a square piece of cardboard 20 inches on a side by cutting identical squares from the corners and turning up the sides.(a) Express the volume of the box, V , as a function of the length of the side of the

3. ### math

The figure shows 2 similar squares, A and B which overlap each other. The ratio of the shaded area to the total area of square B is 3:5. The ratio of the shaded area to the total area of square A is 9:17. What is the ratio of the

4. ### math HELP SOS

If two polygons are similar,how can you find the scale factor from one polygon to the other?Show specific examples.Describe how you find the scale factor from the smaller figure to the enlarged figure.Then,describe how you find