The length of rectangular picture is 4 times as long as the width. If the area of the picture is 196 square inches, find the length and width of the picture.

Question

The Length is

The Width is

Answer 1

To find the area of a rectangle, we multiply length times width:

A = L * W

we know that the length is 4 times the width:

length = 4 * w

we Can substutute that in for our area equation for L:

A =( 4 * w) * w

now plug in 196 for area and solve:

196 = (4*w)*w

196=4w²

/4. /4

√49 = √w²

^{7 = w}

so our width is 7inches. To find the length, multiply the width by 4:

7*4=28 inches

there you have it! Feel free to reach out with any questions