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MATH / The areas of squares A₁ and A₂ are 25 square centimeters and 49 square centimeters respectively. What is the number of square centimeters in the area of rectangle A₃? [asy] draw((0…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

The areas of squares A1A_1 and A2A_2 are 25 square centimeters and 49 square centimeters respectively. What is the number of square centimeters in the area of rectangle A3A_3? [asy] draw((0,0)--(17,0)--(17,17)--(7,17)--(7,7)--(0,7)--cycle); draw((7,0)--(7,7)--(17,7)); label("A1A_{1}",(3.5,5),S); label("A2A_{2}",(12,14),S); label("A3A_{3}",(12,5),S); [/asy]
Plain-text mathematical notation (without MathML)
The areas of squares A₁ and A₂ are 25 square centimeters and 49 square centimeters respectively. What is the number of square centimeters in the area of rectangle A₃?

[asy]
draw((0,0)--(17,0)--(17,17)--(7,17)--(7,7)--(0,7)--cycle);
draw((7,0)--(7,7)--(17,7));
label("A₁",(3.5,5),S);
label("A₂",(12,14),S);
label("A₃",(12,5),S);
[/asy]
Original LaTeX notation
The areas of squares $A_1$ and $A_2$ are 25 square centimeters and 49 square centimeters respectively. What is the number of square centimeters in the area of rectangle $A_3$?

[asy]
draw((0,0)--(17,0)--(17,17)--(7,17)--(7,7)--(0,7)--cycle);
draw((7,0)--(7,7)--(17,7));
label("$A_{1}$",(3.5,5),S);
label("$A_{2}$",(12,14),S);
label("$A_{3}$",(12,5),S);
[/asy]

level

Level 2

type

Prealgebra

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Source and history

task_id
23df8620-afe9-5e6b-8396-0440cc2e3058
task_key
prealgebra--test--23df8620-afe9-5e6b-8396-0440cc2e3058
task_revision_id
1
config / split
prealgebra / test

Official source

initial import