Question

Grace wants to frame a square picture which has a area of

950 square inches.


How long is each side of the picture?

She has another square picture with an area of 1200 square inches.
How long is each side of this picture?

Answer 1

First Picture: Length = 30.82in

Second Picture: Length = 34.64in

Explanation:

Given

Picture 1:

Area = 950in²

Picture 2:

Area = 1200in²

Required

Determine the length of each pictures

From the question, we understand that both pictures are square in shape and the area is calculated as thus:

Area = Length²

For the first picture, substitute 950 for Area

This gives:

950 = Length²

Length ² = 950

Take square root of both sides

Length = √950

Length = 30.8220700148448822

Length = 30.82 (approximated)

Hence, the length of the first picture is 30.82in

For the second picture, substitute 1200 for Area

This gives:

1200 = Length²

Length² = 1200

Take square root of both sides

Length = √1200

Length = 34.6410161513775458

Length = 34.64 (approximated)

Hence, the length of the second picture is 34.64in