Question

Mara uses 15 square-centimeter tiles to make a rectangle. Ashton uses 9 square-centimeter tiles to make a rectangle. a) Draw what Mara and Ashton's rectangles might look like. b) Whose rectangle has a bigger area? How do you know?

Answer 1

Answer:

(a) See attachment

(b) Mara's rectangle

Step-by-step explanation:

Given

Mara

$Area =15cm^2$

Ashton

$Area =9cm^2$

Solving (a): Draw the rectangles

First, we need to calculate the possible dimension of both rectangles.

Area is calculated as:

$Area = Length * Width$

For Mara

$15 = Length * Width$

Possible values of length and width are:

$Length = 5cm$

$Width = 3cm$

This is so because:

$5cm * 3cm = 15cm^2$

For Ashton

$9 = Length * Width$

Possible values of length and width are:

$Length = 4.5cm$

$Width = 2cm$

This is so because:

$4.5cm * 2cm = 9cm^2$

See attachment for diagram

Solving (b): Rectangle with bigger area

Mara's rectangle has a bigger area because $15cm^2 > 9cm^2$